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 start by isolating \(x\).

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:

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

Now we can write the inequality with \(x\) first:

\[ x > 2.5 \]

Thus, the final answer is:

\[ x > 2.5 \]