Solve 5x + 12.5 < 23.1. Write the rational number in your answer in decimal form to the hundredths place. Make sure to write your inequality so that x comes first.

Question

Solve 5x + 12.5 < 23.1. Write the rational number in your answer in decimal form to the hundredths place. Make sure to write your inequality so that x comes first.

Answer 1

First, subtract 12.5 from both sides of the inequality:

5x + 12.5 - 12.5 < 23.1 - 12.5

This simplifies to:

5x < 10.6

Now, divide both sides of the inequality by 5:

x < 10.6 / 5

This simplifies to:

x < 2.12

Therefore, the solution to the inequality is x < 2.12.