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

The correct first step in solving 5 – 2x < 8x – 3 is to simplify the expression on both sides of the inequality sign:
5 - 2x < 8x - 3

First, add 2x to both sides:
5 < 8x + 2x - 3

Then combine like terms:
5 < 10x - 3

So the correct first step is: 5 < 10x - 3