Question

Consider the inequality.

5a+18<−27

Correctly order the steps used to solve the inequality.

(3 points)

Answer 1

To solve the inequality \( 5a + 18 < -27 \), you can follow these ordered steps:

1. **Subtract 18 from both sides**: This isolates the term containing \( a \).
\[
5a + 18 - 18 < -27 - 18
\]
Resulting in:
\[
5a < -45
\]

2. **Divide both sides by 5**: This will help to solve for \( a \).
\[
\frac{5a}{5} < \frac{-45}{5}
\]
Resulting in:
\[
a < -9
\]

Thus, the ordered steps to solve the inequality are:

1. Subtract 18 from both sides.
2. Divide both sides by 5.

Final solution:
\[
a < -9
\]