A) Solve

5.14x + 2.25 > 15.1. Write the rational number in your answer in decimal form to the tenths place.

1 answer

To solve the inequality 5.14x + 2.25 > 15.1, we need to isolate the variable x.

First, let's subtract 2.25 from both sides of the inequality:
5.14x + 2.25 - 2.25 > 15.1 - 2.25
5.14x > 12.85

Next, divide both sides of the inequality by 5.14 to solve for x:
x > 12.85 / 5.14

Using a calculator, we find that 12.85 / 5.14 is approximately 2.5.

Therefore, the rational number x in decimal form to the tenths place that satisfies the inequality is x > 2.5.