1. The statement "x is at least 5" is written as
Answer: B. x ≥ 5
Mathematics Class 10 Unit 4: Linear and Quadratic Inequalities MCQs
35 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
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2. The statement "x is at most 7" is written as
Answer: C. x ≤ 7
3. The statement "x is not less than 5" is written as
Answer: A. x ≥ 5
4. If a < b, then a + c is
Answer: D. less than b + c
5. If a < b and c > 0, then
Answer: C. ac < bc
6. When both sides of an inequality are multiplied by a negative number, the inequality sign
Answer: A. is reversed
7. The solution of 2x + 3 < 7 is
Answer: D. x < 2
8. The solution of −3x > 9 is
Answer: B. x < −3
9. The solution of 5x − 2 ≥ 8 is
Answer: A. x ≥ 2
10. The solution of 3x + 4 ≤ 10 is
Answer: D. x ≤ 2
11. The solution of x − 7 < −2 is
Answer: C. x < 5
12. The solution of 2x + 5 > 1 is
Answer: B. x > −2
13. The solution of x/2 + 1 ≥ 3 is
Answer: B. x ≥ 4
14. The solution of 3(x − 1) < 2x + 1 is
Answer: D. x < 4
15. The smallest integer satisfying x > 2.5 is
Answer: C. 3
16. The largest integer satisfying 2x < 9 is
Answer: A. 4
17. On a number line, the solution x ≥ 3 is shown by
Answer: B. a closed circle at 3 with shading to the right
18. The solution of x² − 4 < 0 is
Answer: C. −2 < x < 2
19. The solution of x² − 9 > 0 is
Answer: D. x < −3 or x > 3
20. The solution of x² − 5x + 6 ≤ 0 is
Answer: A. 2 ≤ x ≤ 3
21. The solution of x² − 5x + 6 > 0 is
Answer: D. x < 2 or x > 3
22. The solution of (x − 1)(x + 2) < 0 is
Answer: C. −2 < x < 1
23. The solution of (x − 1)(x + 2) > 0 is
Answer: A. x < −2 or x > 1
24. The solution of x² − x − 6 ≤ 0 is
Answer: B. −2 ≤ x ≤ 3
25. The solution set of x² + 1 > 0 is
Answer: A. all real numbers
26. The solution of (x − 3)² ≤ 0 is
Answer: D. x = 3 only
27. The boundary line of the inequality x + y ≤ 4 is drawn as a
Answer: B. solid line
28. The boundary line of the inequality x + y < 4 is drawn as a
Answer: C. dotted (broken) line
29. To decide which side of the line ax + by = c to shade, we commonly test the point
Answer: C. (0, 0)
30. The point (0, 0) lies in the region of x + y < 4 because
Answer: B. 0 < 4 is true
31. The region represented by y ≥ 0 lies
Answer: D. on or above the x-axis
32. The region represented by x > 0 lies
Answer: A. to the right of the y-axis
33. Which point satisfies both x + y > 3 and x − y < 1?
Answer: C. (2, 2)
34. The feasible region of two linear inequalities is the region
Answer: D. satisfying both inequalities at the same time
35. The solution of the combined inequality x > −1 and x < 3 is
Answer: B. −1 < x < 3
About Mathematics Class 10 Unit 4 MCQs (Federal Board)
These 35 Mathematics MCQs cover Class 10 Unit 4: Linear and Quadratic Inequalities of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Linear and Quadratic Inequalities MCQs as a PDF using the button at the top of this page.