Please Solve 5.14x+2.25>15.1

Question

. 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 \( 5.14x + 2.25 > 15.1 \), follow these steps:

1. Subtract 2.25 from both sides: \[ 5.14x > 15.1 - 2.25 \] Calculate \( 15.1 - 2.25 \): \[ 15.1 - 2.25 = 12.85 \] So, the inequality now is: \[ 5.14x > 12.85 \]

2. Divide both sides by 5.14: \[ x > \frac{12.85}{5.14} \] Now, calculate \( \frac{12.85}{5.14} \): \[ \frac{12.85}{5.14} \approx 2.5 \]

3. Write the final inequality: \[ x > 2.5 \]

Thus, the solution in decimal form to the tenths place is: \[ x > 2.5 \]