What value(s) of x is/are in the solution set of 3x - 5 < |x + 1|?
(a) 1, (b) 2, (c) 1.5, (d) 3

Solution:

We will use the concept of algebra to solve the following inequality.

Given: 3x - 5 < |x + 1|

Let's solve the inequality.

3x - 5 < |x + 1|

3x - 5 < x + 1 and - (3x - 5) < x + 1 

⇒ 2x < 6 and 4 < 4x

⇒ x < 3 and x > 1

⇒ 1 < x < 3

From the available set of options, that are, a) 1, b) 2, c) 1.5, d) 3, both b) and c) satisfy the inequality.

Hence, option b) and c) are correct

What value(s) of x is/are in the solution set of 3x - 5 < |x + 1|?

Summary:

The value of x is in the solution set of 3x - 5 < |x + 1| are b) 2 and c) 1.5