NCERT Solutions for class 11 Maths | Chapter 6 - Linear Inequalities

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Questions
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

Linear Inequalities

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

Linear Inequalities

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

Linear Inequalities

A A
B B
C C
D D

Answer:B
10 The graphical representation of solution of x ≤ -3 and x ≥ 3 is

Linear Inequalities

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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