Question

Which is a correct first step in solving 5 - 2x < 8x- 3?

5 < 6x - 3
3x < 8x - 3
5< 108-3
2 - 2x < 8x

Answer 1

`5 < 10x - 3`

Explanation:

Given:

The given inequality is:

`5 - 2x < 8x- 3`

The given inequality has variable 'x' on both sides of the inequality.

In order to solve such inequalities, we bring the variables on the same side as the first step in solving for 'x'.

Therefore, we could either add
`2x` on both sides or add
`-8x` both sides to bring the variable terms on same side.

If we add
`2x` both sides, we get:

`5 - 2x +2x< 8x+2x - 3\\5<10x-3`

So, among all the given options, third option matches the above inequality.

Therefore, the first step in solving the given inequality is
`5 < 10x - 3`