Question

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

5 < 6x – 3
3x < 8x – 3
5 < 10x – 3
2 – 2x < 8x

Answer 1

add 2x to both sides of the equation which gives you 5<10x-3

Answer 2

Option (c) is correct.

A correct first step in solving 5 – 2x < 8x – 3 is 5 < 10x – 3

Explanation:

Given inequality 5 – 2x < 8x – 3

We have to choose from the option the first step to solve the inequality,

Consider the given inequality 5 – 2x < 8x – 3

First Add 2x from both side, we have,

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

On simplify , we have,

`5<10x-3`

Add 3 both sides, we have,

`5+3<10x-3+3`

On simplify , we have,

`10x>8`

Divide by 10 both sides , we have,

`(10x)/(10)>(8)/(10)`

`x>(4)/(5)`

Thus, a correct first step in solving 5 – 2x < 8x – 3 is 5 < 10x – 3

Option (c) is correct.