What is the correct first step in solving 5-2x<8x-3

Mathematics · Middle School · Wed Jan 13 2021

Answered on

Given the inequality equation:

5 - 2x < 8x - 3

Solve the inequality.

Solution:

In order to solve the inequality, the first step is to transpose -2x and -3 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.

5 - 2x < 8x - 3

5 + 3 < 8x + 2x

8 < 10x

Divide both sides by 10 in order to determine the value of x.

8/10 < 10x/10

4/5 < x

Final answer:

4/5 < x