1. |
info: 2025-04-26 02:36:12.880 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
67ms [Parameters=[@p7='231e2817-9933-4383-9988-b8cadeff0f1c', @p0='True', @p1='False', @p2='1', @p3='a5303678-dda5-489f-8374-ba7c3b118f9f', @p4='37.jpg' (Size = 100), @p5='https://knowledgenest.blob.core.windows.net/scanners/0/[Matematika][Matematika Tau plius 8 klasė][Vadovėlis 2 dalis]/pages/37.jpg' (Size = 1000), @p6=' # Nelygybės
**92.** Išspręskite nelygybę, jos sprendinius pavaizduokite skaičių tiesėje, o atsakymą užrašykite intervalu.
a) x + 3 < 6;
b) x - 3 ≥ 6;
c) x + 3 ≤ -6;
d) x + 2 > 6;
e) x - 2 ≤ -6;
f) x + 2 ≥ 1;
g) x - 1 ≤ 7;
h) x + 1 > -7;
i) x - 4 < 4.
**93.** Išspręskite nelygybę ir jos sprendinius pavaizduokite skaičių tiesėje.
a) 0,5x + 4 > 10;
b) 0,1x - 3 < -2;
c) 0,2x + 1 ≤ -1;
d) 1,5y - 2 ≥ 3;
e) 0,2y + 4 ≥ -1;
f) 2,5y - 2 < -2;
g) 2,5z + 1 > 9;
h) 1,3z - 3 ≤ 0;
i) 0,5z + 2 ≥ -6.
**94.** Išspręskite nelygybę.
a) x/2 + 4 < 10;
b) x/5 - 3 > 2;
c) x/3 + 6 ≤ -2;
d) y/5 + 10 ≥ 1;
e) y/4 + 1 < -4;
f) y/8 - 2 ≥ 3;
g) z/3 - 1 ≤ 3;
h) z/6 + 4 ≥ 2;
i) z/7 - 7 > 0.
---
*Išspręskime nelygybę x/5 - 2 < 8.*
**I būdas**
x/5 - 2 < 8 | * 5
5 * (x/5) - 5 * 2 < 8 * 5
x - 10 < 40 | + 10
x < 50
**II būdas**
x/5 - 2 < 8 | + 2
x/5 < 10 | * 5
x < 50
---
**95.** Sakinį užrašykite nelygybe ir ją išspręskite.
a) Skaičių x padaliję iš 5 ir iš gauto rezultato atėmę 4, gausime reiškinį, mažesnį už 1.
b) Skaičių y padaliję iš 3 ir gautą rezultatą padidinę 6 vienetais, gausime reiškinį, didesnį už -3.
c) Skaičių a padaliję iš 8 ir iš gauto rezultato atėmę -8, gausime reiškinį, ne didesnį už -1.
d) Skaičių b padaliję iš 3 ir gautą rezultatą padidinę vienetu, gausime reiškinį, ne mažesnį už -2.
**96.**
a) Su kuriomis y reikšmėmis dvinario y/2 - 1 reikšmės yra neneigiamos?
b) Su kuriomis x reikšmėmis dvinario x/3 + 3 reikšmės yra neteigiamos?
c) Su kuriomis y reikšmėmis dvinario y/5 - 7 reikšmės yra neigiamos?
d) Su kuriomis x reikšmėmis dvinario x/6 + 4 reikšmės yra teigiamos?' (Size = 4000)], CommandType='Text', CommandTimeout='30']
SET IMPLICIT_TRANSACTIONS OFF;
SET NOCOUNT ON;
UPDATE [ScannerPages] SET [Active] = @p0, [Deleted] = @p1, [Position] = @p2, [ScannerId] = @p3, [StorageMediaName] = @p4, [StorageMediaUrl] = @p5, [Text] = @p6
OUTPUT 1
WHERE [Id] = @p7;
|
2. |
info: 2025-04-26 02:36:14.622 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
152ms [Parameters=[@__id_0='1a343f59-6a36-a237-114f-8cdb361b4d94', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [c].[Id], [c].[Active], [c].[Deleted], [c].[Description], [c].[DescriptionBackup], [c].[Left], [c].[ParentId], [c].[Position], [c].[ProcessorGenerateImagePrompt], [c].[Right], [c].[SiteId], [c].[StorageMediaName], [c].[StorageMediaUrl], [c].[Title], [c].[TitleBackup], [c].[TitleSlug], [c].[TotalChildren], [c].[TotalScanners], [c].[TotalYoutubeVideos]
FROM [Categories] AS [c] WITH (NOLOCK)
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id]
|
3. |
info: 2025-04-26 02:36:14.631 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
2ms [Parameters=[@__id_0='1a343f59-6a36-a237-114f-8cdb361b4d94', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [c4].[Id], [c4].[Active], [c4].[Deleted], [c4].[Description], [c4].[DescriptionBackup], [c4].[Left], [c4].[ParentId], [c4].[Position], [c4].[ProcessorGenerateImagePrompt], [c4].[Right], [c4].[SiteId], [c4].[StorageMediaName], [c4].[StorageMediaUrl], [c4].[Title], [c4].[TitleBackup], [c4].[TitleSlug], [c4].[TotalChildren], [c4].[TotalScanners], [c4].[TotalYoutubeVideos], [c].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[Active], [c0].[Deleted], [c0].[Description], [c0].[DescriptionBackup], [c0].[Left], [c0].[ParentId], [c0].[Position], [c0].[ProcessorGenerateImagePrompt], [c0].[Right], [c0].[SiteId], [c0].[StorageMediaName], [c0].[StorageMediaUrl], [c0].[Title], [c0].[TitleBackup], [c0].[TitleSlug], [c0].[TotalChildren], [c0].[TotalScanners], [c0].[TotalYoutubeVideos]
FROM [Categories] AS [c0] WITH (NOLOCK)
WHERE [c0].[Active] = CAST(1 AS bit) AND [c0].[Deleted] = CAST(0 AS bit)
) AS [c4] ON [c].[Id] = [c4].[ParentId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [c4].[Position], [c4].[Id]
|
4. |
info: 2025-04-26 02:36:14.726 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
95ms [Parameters=[@__id_0='1a343f59-6a36-a237-114f-8cdb361b4d94', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s5].[ScannerId], [s5].[CategoryId], [s5].[Id], [s5].[Active], [s5].[CheatSheet], [s5].[CheatSheet2], [s5].[Deleted], [s5].[FactErrors], [s5].[FactErrorsExplanation], [s5].[ParentCategory2Id], [s5].[ParentCategoryId], [s5].[ProcessorGenerateImagePrompt], [s5].[Prompt], [s5].[Reference], [s5].[ReferenceSlug], [s5].[SiteId], [s5].[SpellingErrors], [s5].[SpellingErrorsExplanation], [s5].[Summary], [s5].[Title], [s5].[TitleBackup], [s5].[TitleSlug], [s5].[TotalCards], [s5].[TotalCards2], [s5].[TotalCategories], [s5].[TotalPages], [s5].[Verified], [c].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id], [s1].[Active], [s1].[CheatSheet], [s1].[CheatSheet2], [s1].[Deleted], [s1].[FactErrors], [s1].[FactErrorsExplanation], [s1].[ParentCategory2Id], [s1].[ParentCategoryId], [s1].[ProcessorGenerateImagePrompt], [s1].[Prompt], [s1].[Reference], [s1].[ReferenceSlug], [s1].[SiteId], [s1].[SpellingErrors], [s1].[SpellingErrorsExplanation], [s1].[Summary], [s1].[Title], [s1].[TitleBackup], [s1].[TitleSlug], [s1].[TotalCards], [s1].[TotalCards2], [s1].[TotalCategories], [s1].[TotalPages], [s1].[Verified]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId]
|
5. |
info: 2025-04-26 02:36:14.757 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
18ms [Parameters=[@__id_0='1a343f59-6a36-a237-114f-8cdb361b4d94', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s6].[Id], [s6].[Active], [s6].[Context], [s6].[ContextBackup], [s6].[ContextStorageMediaName], [s6].[ContextStorageMediaUrl], [s6].[Deleted], [s6].[FactErrors], [s6].[FactErrorsExplanation], [s6].[Facts], [s6].[FactsBackup], [s6].[FactsStorageMediaName], [s6].[FactsStorageMediaUrl], [s6].[Position], [s6].[ProcessorGenerateImagePrompt], [s6].[Prompt], [s6].[ScannerId], [s6].[SpellingErrors], [s6].[SpellingErrorsExplanation], [s6].[StorageMediaName], [s6].[StorageMediaUrl], [s6].[Summary], [s6].[SummaryBackup], [s6].[SummaryStorageMediaName], [s6].[SummaryStorageMediaUrl], [s6].[Title], [s6].[TitleSlug], [s6].[TotalFillTheBlankSelectionQuestions], [s6].[TotalMultipleSelectionQuestions], [s6].[TotalOrderingQuestions], [s6].[TotalQuestionPoints], [s6].[TotalQuestions], [s6].[TotalShortAnswerQuestions], [s6].[TotalSingleSelectionQuestions], [s6].[TotalSources], [s6].[TotalTrueFalseQuestions], [s6].[Verified], [s6].[Version], [c].[Id], [s5].[ScannerId], [s5].[CategoryId], [s5].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
INNER JOIN (
SELECT [s2].[Id], [s2].[Active], [s2].[Context], [s2].[ContextBackup], [s2].[ContextStorageMediaName], [s2].[ContextStorageMediaUrl], [s2].[Deleted], [s2].[FactErrors], [s2].[FactErrorsExplanation], [s2].[Facts], [s2].[FactsBackup], [s2].[FactsStorageMediaName], [s2].[FactsStorageMediaUrl], [s2].[Position], [s2].[ProcessorGenerateImagePrompt], [s2].[Prompt], [s2].[ScannerId], [s2].[SpellingErrors], [s2].[SpellingErrorsExplanation], [s2].[StorageMediaName], [s2].[StorageMediaUrl], [s2].[Summary], [s2].[SummaryBackup], [s2].[SummaryStorageMediaName], [s2].[SummaryStorageMediaUrl], [s2].[Title], [s2].[TitleSlug], [s2].[TotalFillTheBlankSelectionQuestions], [s2].[TotalMultipleSelectionQuestions], [s2].[TotalOrderingQuestions], [s2].[TotalQuestionPoints], [s2].[TotalQuestions], [s2].[TotalShortAnswerQuestions], [s2].[TotalSingleSelectionQuestions], [s2].[TotalSources], [s2].[TotalTrueFalseQuestions], [s2].[Verified], [s2].[Version]
FROM [ScannerCards] AS [s2]
WHERE [s2].[Active] = CAST(1 AS bit) AND [s2].[Deleted] = CAST(0 AS bit)
) AS [s6] ON [s5].[Id] = [s6].[ScannerId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId], [s6].[TitleSlug], [s6].[Id]
|
6. |
info: 2025-04-26 02:36:14.768 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
10ms [Parameters=[@__id_0='1a343f59-6a36-a237-114f-8cdb361b4d94', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [q0].[Id], [q0].[Active], [q0].[Created], [q0].[Deleted], [q0].[Points], [q0].[ProcessorGenerateImagePrompt], [q0].[ScannerCardId], [q0].[StorageMediaName], [q0].[StorageMediaUrl], [q0].[Title], [q0].[TotalAnswers], [q0].[Type], [c].[Id], [s5].[ScannerId], [s5].[CategoryId], [s5].[Id], [s6].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
INNER JOIN (
SELECT [s2].[Id], [s2].[ScannerId], [s2].[TitleSlug]
FROM [ScannerCards] AS [s2]
WHERE [s2].[Active] = CAST(1 AS bit) AND [s2].[Deleted] = CAST(0 AS bit)
) AS [s6] ON [s5].[Id] = [s6].[ScannerId]
INNER JOIN (
SELECT [q].[Id], [q].[Active], [q].[Created], [q].[Deleted], [q].[Points], [q].[ProcessorGenerateImagePrompt], [q].[ScannerCardId], [q].[StorageMediaName], [q].[StorageMediaUrl], [q].[Title], [q].[TotalAnswers], [q].[Type]
FROM [Questions] AS [q]
WHERE [q].[Active] = CAST(1 AS bit) AND [q].[Deleted] = CAST(0 AS bit)
) AS [q0] ON [s6].[Id] = [q0].[ScannerCardId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId], [s6].[TitleSlug], [s6].[Id], [q0].[Id]
|
7. |
info: 2025-04-26 02:36:14.797 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
17ms [Parameters=[@__id_0='1a343f59-6a36-a237-114f-8cdb361b4d94', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s7].[TagId], [s7].[ScannerCardId], [s7].[Id], [s7].[Active], [s7].[Created], [s7].[Deleted], [s7].[Description], [s7].[Links], [s7].[MediaSourceCopyright], [s7].[MediaSourceUrl], [s7].[ShortDescription], [s7].[SiteId], [s7].[StorageMediaName], [s7].[StorageMediaUrl], [s7].[Title], [s7].[TitleSlug], [s7].[Url], [s7].[Wikipedia], [s7].[WikipediaPageId], [s7].[WikipediaUpdated], [c].[Id], [s5].[ScannerId], [s5].[CategoryId], [s5].[Id], [s6].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
INNER JOIN (
SELECT [s2].[Id], [s2].[ScannerId], [s2].[TitleSlug]
FROM [ScannerCards] AS [s2]
WHERE [s2].[Active] = CAST(1 AS bit) AND [s2].[Deleted] = CAST(0 AS bit)
) AS [s6] ON [s5].[Id] = [s6].[ScannerId]
INNER JOIN (
SELECT [t].[TagId], [t].[ScannerCardId], [t0].[Id], [t0].[Active], [t0].[Created], [t0].[Deleted], [t0].[Description], [t0].[Links], [t0].[MediaSourceCopyright], [t0].[MediaSourceUrl], [t0].[ShortDescription], [t0].[SiteId], [t0].[StorageMediaName], [t0].[StorageMediaUrl], [t0].[Title], [t0].[TitleSlug], [t0].[Url], [t0].[Wikipedia], [t0].[WikipediaPageId], [t0].[WikipediaUpdated]
FROM [TagScannerCards] AS [t]
INNER JOIN [Tags] AS [t0] ON [t].[TagId] = [t0].[Id]
WHERE [t0].[Active] = CAST(1 AS bit) AND [t0].[Deleted] = CAST(0 AS bit)
) AS [s7] ON [s6].[Id] = [s7].[ScannerCardId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId], [s6].[TitleSlug], [s6].[Id], [s7].[TitleSlug]
|
8. |
info: 2025-04-26 02:36:15.348 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
37ms [Parameters=[@__site_Id_0='63d6eb4e-8e39-4ac6-8f69-55ee76feccce', @__item_Left_1='13312', @__item_Right_2='13313'], CommandType='Text', CommandTimeout='30']
SELECT [c].[Id], [c].[Active], [c].[Deleted], [c].[Description], [c].[DescriptionBackup], [c].[Left], [c].[ParentId], [c].[Position], [c].[ProcessorGenerateImagePrompt], [c].[Right], [c].[SiteId], [c].[StorageMediaName], [c].[StorageMediaUrl], [c].[Title], [c].[TitleBackup], [c].[TitleSlug], [c].[TotalChildren], [c].[TotalScanners], [c].[TotalYoutubeVideos]
FROM [Categories] AS [c] WITH (NOLOCK)
WHERE [c].[SiteId] = @__site_Id_0 AND [c].[Left] <= @__item_Left_1 AND [c].[Right] >= @__item_Right_2 AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Left]
|
398 ms |