MCQ On Class 11 Maths Chapter 6 Linear Inequalities

Questions

1 Solve: |x – 3| < 5

A (2, 8)

B (-2, 8)

C (8, 2)

D (8, -2)

View Answer

Answer:(-2, 8)

2 If x² = 4 then the value of x is

A -2

B 2

C -2, 2

D None of these

View Answer

Answer:-2, 2

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3 If (|x| – 1)/(|x| – 2) ≥ 0, x ∈ R, x ± 2 then the interval of x is

A (-∞, -2) ∪ [-1, 1]

B [-1, 1] ∪ (2, ∞)

C (-∞, -2) ∪ (2, ∞)

D (-∞, -2) ∪ [-1, 1] ∪ (2, ∞)

View Answer

Answer:(-∞, -2) ∪ [-1, 1] ∪ (2, ∞)

4 If x² = -4 then the value of x is

A (-2, 2)

B (-2, ∞)

C (2, ∞)

D No solution

View Answer

Answer:No solution

5 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

View Answer

Answer:2 < x < 3 and x < 1

6 The solution of the -12 < (4 -3x)/(-5) < 2 is

A 56/3 < x < 14/3

B -56/3 < x < -14/3

C 56/3 < x < -14/3

D -56/3 < x < 14/3

View Answer

Answer:-56/3 < x < 14/3

7 If x² = -4 then the value of x is

A (-2, 2)

B (-2, ∞)

C (2, ∞)

D No solution

View Answer

Answer:No solution

8 f(x) = {(x – 1)×(2 – x)}/(x – 3) ≥ 0

A (-∞, 1] ∪ (2, ∞)

B (-∞, 1] ∪ (2, 3)

C (-∞, 1] ∪ (3, ∞)

D None of these

View Answer

Answer:(-∞, 1] ∪ (2, 3)

9 The solution of |2/(x – 4)| > 1 where x ≠ 4 is

A (2, 6)

B (2, 4) ∪ (4, 6)

C (2, 4) ∪ (4, ∞)

D (-∞, 4) ∪ (4, 6)

View Answer

Answer:(2, 4) ∪ (4, 6)

10 The graph of the inequations 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

View Answer

Answer:interior of a triangle including the points on the sides

11 If |x| < 5 then the value of x lies in the interval

A (-∞, -5)

B (∞, 5)

C (-5, ∞)

D (-5, 5)

View Answer

Answer:(-5, 5)

12 Sum of two rational numbers is ______ number.

A rational

B irrational

C Integer

D Both 1, 2 and 3

View Answer

Answer:rational

13 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

View Answer

Answer:none of these

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

A 27 < x < 2

B 27 < x < -2

C -27 < x < 2

D -27 < x < -2

View Answer

Answer:27 < x < 2

15 If | x − 1| > 5, then

A x∈(−∞, −4)∪(6, ∞]

B x∈[6, ∞)

C x∈(6, ∞)

D x∈(−∞, −4)∪(6, ∞)

View Answer

Answer:x∈(−∞, −4)∪(6, ∞)

16 1 ≤ |x – 1| ≤ 3

A [-2, 0]

B [2, 4]

C [-2, 0] ∪ [2, 4]

D None of these

View Answer

Answer:[-2, 0] ∪ [2, 4]

17 Solve: (x + 1)² + (x² + 3x + 2)² = 0

A x = -1, -2

B x = -1

C x = -2

D None of these

View Answer

Answer:x = -1

18 If (x + 3)/(x – 2) > 1/2 then x lies in the interval

A (-8, ∞)

B (8, ∞)

C (∞, -8)

D (∞, 8)

View Answer

Answer:(-8, ∞)

19 If -2 < 2x – 1 < 2 then the value of x lies in the interval

A (1/2, 3/2)

B (-1/2, 3/2)

C (3/2, 1/2)

D (3/2, -1/2)

View Answer

Answer:(-1/2, 3/2)

20 The solution of the inequality |x – 1| < 2 is

A (1, ∞)

B (-1, 3)

C (1, -3)

D (∞, 1)

View Answer

Answer:(-1, 3)

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