X − (5 − 3x) ≤ 2x − 1 Group of answer choices Number line with a filled circle at -1 and shading to the left Number line with a filled circle at -1 and shading to the right Number line with a filled circle at 2 and shading to the right Number line with a filled circle at 2 and shading to the left

Given:

The inequality is

To find:

The solution of the given inequality.

Solution:

We have,

Subtract 2x from both sides.

Add 5 on both sides.

Divide both sides by 2.

It means, the numbers less than 2 or 2 are included in the solution set.

Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.

Therefore, the correct option is D.