Daily Practice Problems

Class 11 · Maths

Ch 5 — Linear Inequalities

📅 24 July 2026 ✎ 5 Questions ⏰ 10 minutes

The solution of $3x - 5 \le 4$ is:

A. $x \le 3$ B. $x \ge 3$ C. $x \le 9$ D. $x \ge 9$

📝 SolutionAdd 5: $3x \le 9$, then divide by 3: $x \le 3$.

Which of these is NOT a solution of $x > 2$?

A. 3 B. 5 C. 2 D. 10

📝 Solution$x > 2$ is a strict inequality, so $x = 2$ is not included. The value 2 does not satisfy it.

The inequality $x \ge 0$ represents:

A. only positive numbers B. non-negative numbers C. only negative numbers D. no numbers

📝 Solution$x \ge 0$ includes zero and all positive numbers, i.e. the non-negative real numbers.

The solution set of $|x| < 3$ is:

A. $x < 3$ B. $-3 < x < 3$ C. $x > 3$ D. $x < -3$

📝 Solution$|x| < 3$ means x is within 3 units of zero, giving $-3 < x < 3$.

If $5 > x$, this is the same as:

A. $x > 5$ B. $x < 5$ C. $x = 5$ D. $x \ge 5$

📝 Solution$5 > x$ can be rewritten as $x < 5$.

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Class 11 · Maths

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