Inequalities Unit Test

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Question
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.(1 point)

To solve the inequality, we need to isolate the variable x on one side of the inequality sign.

First, we can subtract 2.25 from both sides of the inequality:
5.14x + 2.25 - 2.25 > 15.1 - 2.25
5.14x > 12.85

Next, we can 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 divided by 5.14 is approximately 2.5 to the tenths place.

Therefore, the solution to the inequality is x > 2.5.