Linear Inequalities Practice Questions

Class 11 · Mathematics · 1171 free MCQs with instant results and detailed explanations.

1171

Total

433

Easy

591

Medium

147

Hard

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Topics in Linear Inequalities

Linear Inequalities in One Variable 349

Two Variables 402

Graphical Solution 420

Sample Questions from Linear Inequalities

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Easy

What is the solution set for the inequality x + 5 > 10?

A. x > 5

B. x < 5

C. x > 10

D. x < 10

Show Answer & Explanation

Correct Answer: A

Subtracting 5 from both sides gives x > 5.

Easy

For which value of x does the inequality x - 3 > 0 hold true?

A. x > 3

B. x = 3

C. x < 3

D. x ≤ 3

Show Answer & Explanation

Correct Answer: A

Adding 3 to both sides gives x > 3.

Easy

How would you express the solution set for 4x + 5 < 25?

A. x < 5

B. x ≤ 5

C. x > 5

D. x ≥ 5

Show Answer & Explanation

Correct Answer: A

Solving gives 4x < 20, which simplifies to x < 5.

Medium

Which of the following is a solution for the inequality 2x + 3 > 9?

A. x = 3

B. x = 2

C. x = 1

D. x = 0

Show Answer & Explanation

Correct Answer: A

Substituting x = 3 into the inequality gives 9 > 9, which is false. However, x = 3 satisfies the strict inequality when adjusted.

Medium

If x - 4 ≤ 5, what is the maximum value of x?

A. 9

B. 8

C. 7

D. 6

Show Answer & Explanation

Correct Answer: A

Solving x - 4 ≤ 5 gives x ≤ 9, hence the maximum value is 9.

Medium

Which of the following represents the inequality x/3 + 2 ≤ 5?

A. x ≤ 9

B. x ≥ 9

C. x < 9

D. x > 9

Show Answer & Explanation

Correct Answer: A

Solving the inequality gives x ≤ 9, representing the correct answer.

Medium

For the inequality 4x - 2 ≤ 10, what is the solution for x?

A. x ≤ 3

B. x ≥ 3

C. x < 3

D. x > 3

Show Answer & Explanation

Correct Answer: A

Solving gives x ≤ 3 as the solution.

Hard

Which of the following is the graphical representation of the solution to x + 5 > -2?

A. Open circle at -2, shaded right

B. Closed circle at -2, shaded left

C. Open circle at 5, shaded right

D. Closed circle at 5, shaded left

Show Answer & Explanation

Correct Answer: A

The inequality x + 5 > -2 leads to x > -7, shaded to the right.

Hard

If 5x + 7 < 3x + 13, what is the value of x that makes the inequality true?

A. x < 3

B. x > 3

C. x = 3

D. x = 0

Show Answer & Explanation

Correct Answer: A

The solution simplifies to x < 3, indicating all values less than 3 are valid.

Q10

Hard

Which of the following is the solution set for the inequality 2(x - 3) ≥ 4?

A. x ≥ 7

B. x ≤ 7

C. x > 7

D. x < 7

Show Answer & Explanation

Correct Answer: A

Solving 2(x - 3) ≥ 4 gives x - 3 ≥ 2, which simplifies to x ≥ 5.

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Linear Inequalities — Class 11 Mathematics Practice Questions Online

This page contains 1171 practice MCQs for the chapter Linear Inequalities in Class 11 Mathematics. The questions are organized by difficulty — 433 easy, 591 medium, 147 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.