Question

Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x. What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Answer 1

I don't exactly know how to explain step 2 but the working is:
5 - 8x < 2x + 3
5 - 3 < 2x + 8x
2 < 10x
5 < x

(I'm sorry if it's wrong)

Answer 2

Given inequality:
`5-8x<2x+3`

Step 1. Subtract 3 from both sides of the inequality:

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

`2-8x<2x`

Step 2: Add 8x both sides of the inequality:

`2-8x+8x<2x+8x` or

`2<10x`

Step 3: Divide both sides of the inequality by the coefficient of x (i.e, 10).

`(2)/(10)< (10x)/(10)`

Simplify:

`(1)/(5) <x`

Therefore, the missing steps is: Add 8x both sides of the inequality