Question

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)

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 answer in the correct format: The inequality with \(x\) first is: \[ x > 2.5 \]

Thus, the solution to the inequality is: \[ \boxed{x > 2.5} \]