**MCQs Questions for Class 11 Maths Chapter 6 Linear Inequalities**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 11
Maths Chapter 6 Linear Inequalities**

**1.** If x² = -9, then the value
of x is

(a) (-3, 3)

(b) (-3, ∞)

(c) (3, ∞)

(d) no solution

**Answer: d**

**2. **ax + b > 0 is
_____________

(a) double inequality

(b) quadratic inequality

(c) numerical inequality

(d) linear inequality

**Answer: d**

**3. **If (x + 3)/(x – 2) > ½, then x lies in the interval

(a) (-8, ∞)

(b) (8, ∞)

(c) (∞, -8)

(d) (∞, 8)

**Answer: a**

**4. **ax^{2 }+ bx + c > 0 is
_____________________

(a) double inequality

(b) quadratic inequality

(c) numerical inequality

(d) linear inequality

**Answer: b**

**5. **The region of the XOY-plane represented by the inequalities x
≥ 6, y ≥ 2, 2x + y ≤ 10 is

(a) unbounded

(b) a polygon

(c) none of these

(d) exterior of a triangle

**Answer: c**

**6. **If Priyanshu has x rupees and he pay 40 rupees to shopkeeper
then find range of x if amount of money left with Ram is at least 10 rupees is
given by inequation

(a) x ≥ 10

(b) x ≤ 10

(c) x ≤ 50

(d) x ≥ 50

**Answer: d**

**7. **The interval in which f(x) = (x – 1) × (x – 2) × (x – 3) is
negative is

(a) x > 2

(b) 2 < x and x < 1

(c) 2 < x < 1 and x < 3

(d) 2 < x < 3 and x < 1

**Answer: d**

**8. **If x > 7, then which one is impossible?

(a) x > 4

(b) x < 6

(c) x > 9

(d) x < 14

**Answer: b**

**9. **The solution of the inequality |x – 1| < 2 is

(a) (1, ∞)

(b) (-1, 3)

(c) (1, -3)

(d) (∞, 1)

**Answer: b**

**10. ** If x is a positive integer and 20x < 100, then find
solution set of x.

(a) {0, 1, 2, 3, 4, 5}

(b) {1, 2, 3, 4, 5}

(c) {1, 2, 3, 4}

(d) {0, 1, 2, 3, 4}

**Answer: c**

**11. **The solution of the inequality |2/(x – 4)| > 1 where x ≠ 4
is

(a) (2, 6)

(b) (2, 4) ∪ (4, 6)

(c) (2, 4) ∪ (4, ∞)

(d) (-∞, 4) ∪ (4, 6)

**Answer: b**

**12. ** If 2x + 1 > 5, then which one is true?

(a) x > 4

(b) x < 4

(c) x > 2

(d) x < 2

**Answer: c**

**13. **The graph of the inequalities x ≥ 0, y ≥ 0, 3x + 4y ≤ 12 is

(a) none of these

(b) interior of a triangle including the points
on the sides

(c) in the 2nd quadrant

(d) exterior of a triangle

**Answer: b**

**14. **Find all pairs of consecutive odd positive integers both of
which are smaller than 8 such that their sum is more than 10.

(a) (5, 7)

(b) (3, 5), (5, 7)

(c) (3, 5), (5, 7), (7, 9)

(d) (5, 7), (7, 9)

**Answer: a**

**15. **The solution of the inequality 15 < 3(x – 2)/5 < 0 is

(a) 27 < x < 2

(b) 27 < x < -2

(c) -27 < x < 2

(d) -27 < x < -2

**Answer: a**