Solve 5.14x + 2.25 > 15.1. Write the rational number in your answer in decimal form to the tenths place. Make sure to write your inequality so that x comes first.

Answer 1

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

First, 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:

5.14x / 5.14 > 12.85 / 5.14
x > 2.5

So the solution to the inequality is x > 2.5. The rational number 2.5 is already in decimal form to the tenths place. Thus, the inequality with x coming first is:

x > 2.5