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.(1 point)

Answer 1

To solve the inequality \(5.14x + 2.25 > 15.1\), we'll follow these steps:

1. Subtract \(2.25\) from both sides: \[ 5.14x > 15.1 - 2.25 \] \[ 5.14x > 12.85 \]

2. Divide both sides by \(5.14\): \[ x > \frac{12.85}{5.14} \]

3. Calculate \(\frac{12.85}{5.14}\): \[ \frac{12.85}{5.14} \approx 2.5 \]

Now we can write the final inequality with \(x\) first: \[ x > 2.5 \]

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