# 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

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

## Answer: The value of x is in the solution set of 3 (x – 4) ≥ 5x + 2 are b) 2 and c) 1.5

Let's look into the steps below.

**Explanation:**

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) satisfies the inequality.