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.
To solve the inequality 5.14x + 2.25 > 15.1, we need to isolate the variable x.
First, we subtract 2.25 from both sides of the inequality:
5.14x > 15.1 - 2.25
5.14x > 12.85
Next, we divide both sides by 5.14 to solve for x (remember to reverse the inequality since we are dividing by a negative number):
x < 12.85 / 5.14
Calculating this division, we find:
x < 2.5
Hence, the solution to the inequality is x < 2.5. In decimal form to the tenths place, this is x < 2.5.