Objective Questions On Class 11 Maths Chapter 6 Linear Inequalities

(1) The solution of the inequality 3(2-x)≥2(1-x) for real x is :

[A] x < 4

[B] x > 4

[C] x ≤4

[D] x ≥ 4

Answer: x ≤4

(2) What is the region represented by x > 0 and y < 0?

[A] 2nd quadrant

[B] 3rd quadrant

[C] 4th quadrant

[D] 1st quadrant

Answer: 4th quadrant

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(3) Find the solution for the pair of solution x > 1 and x > -1

[A] No solution

[B] -1 < x < 1

[C] x < -1

[D] x > 1

Answer: x > 1

(4) The graphical solution of -1 < x < 2 on number line is

[A] A

[B] B

[C] C

[D] D

Answer: D

(5) Find the solution for the pair of inequations x > 1 and x < -1

[A] no solution

[B] x < -1

[C] -1 < x < 1

[D] x > 1

Answer: no solution

(6) The graphical representation of x > 2 on number line is

[A] A

[B] B

[C] C

[D] D

Answer: C

(7) In a game a person wins a TV if in four throws of a dice he get sum greater than 20 .In three throws he got numbers as 5,3,6. What should be his fourth throw so that he wins a TV?

[A] 5 or 6

[B] never wins.

[C] 5

[D] 6

Answer: never wins.

(8) IQ of a person is given by the formula

where MA is mental age and CA is the chronological age. If

80≤IQ≤140

for a group of 12 years old children, find the range of their mental age.

[A] 9.6 to 14.8

[B] 9.6 and 16.8

[C] 9.6 to 16.8

[D] 14.8 to 16.8

Answer: 9.6 to 16.8

(9) The graphical representation of x ≤ -2 on number line is

[A] A

[B] B

[C] C

[D] D

Answer: B

(10) The graphical representation of solution of x ≤ -3 and x ≥ 3 is

[A] A

[B] B

[C] C

[D] D

Answer: A

(11) The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then

[A] breadth ≥ 20

[B] breadth > 20

[C] length ≤ 20

[D] length < 20

Answer: breadth ≥ 20

(12) The solution of the inequality 3(x + 2) > 2 - x is

[A] x > 1

[B] x < 1

[C] x > -1

[D] x < -1

Answer: x > -1

(13) Sum of two rational numbers is ______ number.

[A] rational

[B] irrational

[C] Integer

[D] Both 1, 2 and 3

Answer: rational

(14) 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: 2 < x < 3 and x < 1

(15) If x2 > 4 then the value of x is

[A] x < -2

[B] x > 2

[C] x < -2 or x > 2

[D] None of these

Answer: x < -2 or x > 2

(16) If x2 < 4 then the value of x is

[A] (0, 2)

[B] (-2, 2)

[C] (-2, 0)

[D] None of these

Answer: (-2, 2)

(17) If |x| > -5 then the value of x lies in the interval

[A] (-∞, -5)

[B] (∞, 5)

[C] (-5, 5)

[D] R

Answer: R

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

[A] (-∞, -2) U [-1, 1]

[B] [-1, 1] U (2, ∞)

[C] (-∞, -2) U (2, ∞)

[D] (-∞, -2) U [-1, 1] U (2, ∞)

Answer: (-∞, -2) U [-1, 1] U (2, ∞)

(19) The solution of the inequality |x - 1| < 2 is

[A] (1, ∞)

[B] (-1, 3)

[C] (1, -3)

[D] (∞, 1)

Answer: (-1, 3)

(20) If x² < -4 then the value of x is

[A] (-2, 2)

[B] (2, ∞)

[C] (-2, ∞)

[D] No solution

Answer: No solution

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