Linear Inequation
ICSE · Class 10 · Mathematics
Practice quiz for Linear Inequation — ICSE Class 10 Mathematics. MCQs and questions with answers to test your preparation.
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Solve the inequation 2x + 5 > 11 for x ∈ R.
If 3x - 7 ≤ 8, find the solution when x ∈ N (natural numbers).
The solution of 5x - 3 < 2x + 9 is:
Solve: x/3 + 2 ≥ 5 for x ∈ Z (integers).
Sample Questions
Which of the following are solutions to -2x + 6 ≥ 0?
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x = 3, x = 2, x = 1, x = 0
-2x + 6 ≥ 0 Subtract 6: -2x ≥ -6 Divide by -2 (reverse inequality): x ≤ 3 So x = 3, 2, 1, 0 are correct, but x = 4 is not since 4 > 3.
Which inequality represents all real numbers greater than -2 but less than or equal to 5?
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-2 < x ≤ 5
The phrase 'greater than -2' means x > -2 (not equal to -2) The phrase 'less than or equal to 5' means x ≤ 5 Combining: -2 < x ≤ 5
If -3x > 12, then x =
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x < -4
-3x > 12 Divide both sides by -3 (reverse the inequality sign): x < -4 When dividing by a negative number, we must reverse the inequality sign.
Which of the following represent the solution x ≥ 3 on a number line?
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A filled circle at 3 with arrow pointing right, A closed interval starting at 3, A thick line from 3 extending to the right
x ≥ 3 means x is greater than or equal to 3. On a number line: - Use a filled/closed circle at 3 (because x = 3 is included) - Draw an arrow or thick line extending to the right (for x > 3)
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