Class 10 · ICSE · Mathematics

Linear Inequations

Solving linear inequations in one variable over the set of natural numbers, whole numbers, integers and real numbers, with representation on the number line.

Questions: 20
PYQs: 0
Topics: 2

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Solution Set over a Given Domain1 Representation on the Number Line0

Questions

20 questions in this chapter.

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Class 10 · Mathematics · Linear Inequations
If −3x > 12, then:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Linear Inequations
Find the greatest integer x for which 4x − 7 < 2x + 5.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Linear Inequations
Solve −4 < 2x − 6 ≤ 4 where x is an integer, and write the solution set.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Linear Inequations
The number of integers satisfying −2 < x ≤ 3 is:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Linear Inequations
On a number line, the solution of x ≥ 3 for real x is shown by:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Linear Inequations
Solve the inequation −2 ≤ (1 − 3x)/4 ≤ 3 for real x and represent the solution on a number line.
4 marksHardNumerical
Answer available
Class 10 · Mathematics · Linear Inequations
Solve −3 ≤ (3 − 2x)/2 < 3 where x is an integer, and write the solution set.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Linear Inequations
Why does the inequality sign reverse when both sides of an inequation are divided by a negative number?
2 marksEasyShort answer
Answer available
Class 10 · Mathematics · Linear Inequations
The solution set of 2x < 8 over the set of natural numbers is:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Linear Inequations
Solve 3x − 5 < 7 where x is a natural number, and write the solution set.
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Linear Inequations
Solve 2x + 3 ≥ 9 where x is a whole number, and write the solution set.
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Linear Inequations
Solve the inequation (2x − 1)/3 ≤ (x + 2)/2 where x is a real number.
3 marksMediumNumerical

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