Linear Inequalities Class 11 MCQs with Answers
Linear Inequalities Class 11 MCQs with Answers
Class: 11 | Subject: Mathematics | Section: Algebra
Topic: Linear Inequalities – NCERT Based Practice Questions
Aligned with CBSE Board Examination Standard
Topic: Linear Inequalities – NCERT Based Practice Questions
Aligned with CBSE Board Examination Standard
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination practice. Each question includes a detailed concept‑clearing explanation.
1. An inequality uses which symbols?
Answer: B
Explanation: Inequalities compare quantities using these symbols.
Explanation: Inequalities compare quantities using these symbols.
2. Solution of x+3>5 is:
Answer: A
Explanation: Subtract 3 from both sides.
Explanation: Subtract 3 from both sides.
3. Multiplying inequality by negative number:
Answer: B
Explanation: Inequality direction flips.
Explanation: Inequality direction flips.
4. Solution set of x≤4 on number line:
Answer: B
Explanation: Includes all numbers ≤4.
Explanation: Includes all numbers ≤4.
5. Compound inequality uses:
Answer: B
Explanation: Combined conditions.
Explanation: Combined conditions.
6. −2x>6 ⇒ x ?
Answer: B
Explanation: Divide by −2, reverse sign.
Explanation: Divide by −2, reverse sign.
7. Graph solution represented by:
Answer: B
Explanation: Standard representation.
Explanation: Standard representation.
8. x≥0 represents:
Answer: B
Explanation: Includes zero.
Explanation: Includes zero.
9. Interval form of x>2:
Answer: A
Explanation: 2 not included.
Explanation: 2 not included.
10. x<5 in interval form:
Answer: A
Explanation: 5 excluded.
Explanation: 5 excluded.
11. Linear inequality degree:
Answer: A
Explanation: Highest power 1.
Explanation: Highest power 1.
12. x−4≥0 ⇒
Answer: A
Explanation: Add 4.
Explanation: Add 4.
13. Solution of 2x<10:
Answer: A
Explanation: Divide by 2.
Explanation: Divide by 2.
14. x/3≥2 ⇒
Answer: A
Explanation: Multiply by 3.
Explanation: Multiply by 3.
15. Intersection of solutions means:
Answer: A
Explanation: Satisfies both.
Explanation: Satisfies both.
16. Union of solutions means:
Answer: B
Explanation: Either condition.
Explanation: Either condition.
17. Solution of −x<3:
Answer: A
Explanation: Multiply −1 flip sign.
Explanation: Multiply −1 flip sign.
18. Inequality graph shading shows:
Answer: A
Explanation: Valid values region.
Explanation: Valid values region.
19. x≤−2 interval:
Answer: A
Explanation: Includes −2.
Explanation: Includes −2.
20. Linear inequality represents:
Answer: B
Explanation: Continuous solution region.
Explanation: Continuous solution region.