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 will isolate \( x \).

1. Subtract \( 2.25 \) from both sides: \[ 5.14x > 15.1 - 2.25 \] Calculate the right side: \[ 15.1 - 2.25 = 12.85 \] So now we have: \[ 5.14x > 12.85 \]

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

3. Write the inequality with \( x \) first: \[ x > 2.5 \]

So the solution is: \[ x > 2.5 \]