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?

Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.

Answer 1

Answer:

I'm slightly confused with the way you wrote the question xD

But I believe you were asking what step 2 is

In that case the answer would be the 4th choice.

Add 8x to both sides of the inequality.  

Answer 2

Answer:

$>x > \frac{1}{5}$

Step-by-step explanation:

$5 – 8x < 2x + 3$

Subtract 3 from both sides of the inequality, we get

$= \: - 3 + 5 - 8x < 2x + 3 \\ = \: > 2 - 8x < 2x$

Subtract 2x from both sides, we get

$= \: > 2 - 8x - 2x < 2x - 2x \\ = \: > 2 - 10x < 0 \\ = \: > - 10x < 2 \\ = \: > \frac{( - 10)x}{( - 10)} > \frac{( - 2)}{( - 10)} \\ = >x > \frac{1}{5}$