Linear Inequalities Online Objective Test | Linear Inequalities Online Objective Test

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q1. Identify the solution set for –( x – 3 ) < 5 – 2x

A. (−∞,−1)

B. None of these

C. (−∞,−5)

D. (−∞,2)

Answer : Option D
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q2. What is the solution set for

\frac{2 (x - 1)}{5} \leq \frac{3 (2 + x)}{7}

A. (−4,∞)

B. (−24,∞)

C. (−12,∞)

D. [−44,∞)

Answer : Option D
Explaination / Solution:

Given $\frac{2 (x - 1)}{5} \leq \frac{3 (2 + x)}{7}$

Multiplying both sides by LCM $(5, 7) = 35$ ,we get

Solution set is $[- 44, \infty)$

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q3. Identify the solution set for

\frac{(x - 1)}{3} + 4 < \frac{(x - 5)}{5} - 2

A. (−∞,−5)

B. (−∞,−50)

C. (−∞,−15)

D. (−∞,-10)

Answer : Option B
Explaination / Solution:

Multiplying both sides byLCM

(3, 5) = 15

,we get

So solution set is

(- \infty, - 50)

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q4.

A. (−∞,−32)∪(53,∞)

B. (−∞,−32)∪(74,∞)

C. (−∞,−12)∪(73,∞)

D. (−∞,−32)∪(73,∞)

Answer : Option D
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q5. Identify the solution set for

\frac{7 x - 5}{8 x + 3} > 4

A. (−57,−38)

B. (−3128,−38)

C. None of these

D. (−1725,−38)

Answer : Option D
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q6.

What is the solution set for $0 < \frac{- x}{2} < 3$

0 < \frac{- x}{2} < 3

A. (5,6 )

B. ( - 6 , 0 )

C. None of these

D. (- 6 , 6 )

Answer : Option B
Explaination / Solution:

$0 < \frac{- x}{2} < 3$

Multiplying throughout by 2,we get

$0 < - x < 6 \Rightarrow 0 > x > - 6$

So solution set is ( - 6 , 0 )

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q7. Identify solution set for | 4 − x | + 1 < 3?

A. ( 2 , 6 )

B. ( 3 , 6 )

C. ( 2 , 4 )

D. ( 2 , 3 )

Answer : Option A
Explaination / Solution:

So solution set is ( 2 , 6 )

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q8. What is the solution set for

\frac{| x - 2 |}{x - 2} > 0

A. ( -∞ , - 2 )

B. ( 2 , ∞)

C. ( 0 , 2 )

D. None of these

Answer : Option B
Explaination / Solution:

We have

| x - 2 | \geq 0

[

∵

|x| or absolute value of x is always positive or zero but never negative ]

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q9. Identify the solution set for

\frac{1}{| x | - 3} < \frac{1}{2}

A. (−∞,−5)∪(5,∞)

B. (5,∞)

C. None of these

D. (−∞,−5)∪(−3,3)∪(5,∞)

Answer : Option D
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q10. What is the solution set for

| \frac{2 x - 1}{x - 1} | > 2

A. (−34,1)∪(1,∞)

B. (14,1)∪(1,∞)

C. None of these

D. (34,1)∪(1,∞)

Answer : Option D
Explaination / Solution:

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