Question

Solve 5x + 12.5 < 23.1. Write the rational number in your answer in decimal form to the
hundredths place. Make sure to write your inequality so that x comes first.
Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison ( < )
keyboard.
(1 point)

Answer 1

To solve the inequality \( 5x + 12.5 < 23.1 \):

1. Start by isolating \( 5x \):
\[
5x < 23.1 - 12.5
\]

2. Calculate \( 23.1 - 12.5 \):
\[
23.1 - 12.5 = 10.6
\]
So, we have:
\[
5x < 10.6
\]

3. Next, divide both sides by 5:
\[
x < \frac{10.6}{5}
\]

4. Calculate \( \frac{10.6}{5} \):
\[
\frac{10.6}{5} = 2.12
\]

Putting it all together, we have:
\[
x < 2.12
\]

So the final answer can be written as:
\[
x < 2.12
\]