# Linear Inequalities - Online Test

Q1. Identify the solution set for –( x – 3 ) < 5 – 2x
Answer : Option D
Explaination / Solution:

Q2. What is the solution set for  ?
Answer : Option D
Explaination / Solution:

Given

Multiplying both sides by LCM,we get

Solution set is

Q3. Identify the solution set for .
Answer : Option B
Explaination / Solution:

Multiplying both sides byLCM ,we get

So solution set is

Q4.
Answer : Option D
Explaination / Solution:

Q5. Identify the solution set for
Answer : Option D
Explaination / Solution:

Q6.

What is the solution set for

Answer : Option B
Explaination / Solution:

Multiplying throughout  by 2,we get

So solution set is ( - 6 , 0 )

Q7. Identify solution set for | 4 − x | + 1 < 3?
Answer : Option A
Explaination / Solution:

So solution set is ( 2 , 6 )

Q8. What is the solution set for  ?
Answer : Option B
Explaination / Solution:

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

Q9. Identify the solution set for  ?
Answer : Option D
Explaination / Solution:

Q10. What is the solution set for  ?
Answer : Option D
Explaination / Solution: