Question

Solve 5.14x + 2.25 > 15.1 write the rational number in decimal form to the tenths place

Answer 1

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

1. Subtract \(2.25\) from both sides:

\[
5.14x > 15.1 - 2.25
\]

2. Calculate the right side:

\[
15.1 - 2.25 = 12.85
\]

So the inequality becomes:

\[
5.14x > 12.85
\]

3. Now, divide both sides by \(5.14\):

\[
x > \frac{12.85}{5.14}
\]

4. Calculate the division:

\[
\frac{12.85}{5.14} \approx 2.5
\]

Therefore, the solution to the inequality is:

\[
x > 2.5
\]

The rational number in decimal form to the tenths place is \(2.5\).