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

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

\[ 5.14x > 15.1 - 2.25 \]

2. Calculate \( 15.1 - 2.25 \):

\[ 15.1 - 2.25 = 12.85 \]

3. Now the inequality is:

\[ 5.14x > 12.85 \]

4. Next, divide both sides by \( 5.14 \):

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

5. Calculate \( \frac{12.85}{5.14} \):

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

6. So, the inequality can be written as:

\[ x > 2.5 \]

Now, to write it with \( x \) first:

\[ x > 2.5 \]

The answer in decimal form to the tenths place is:

\[ \boxed{2.5} \]