Question

Consider the inequality.

2x+5<11


Correctly order the steps to solve the inequality.

(3 points)

Answer 1

To solve the inequality \(2x + 5 < 11\), we can break it down into the following steps:

1. **Subtract 5 from both sides**:
\(2x + 5 - 5 < 11 - 5\)
This simplifies to:
\(2x < 6\)

2. **Divide both sides by 2**:
\( \frac{2x}{2} < \frac{6}{2} \)
This simplifies to:
\(x < 3\)

So the ordered steps to solve the inequality \(2x + 5 < 11\) are:

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

This results in the final solution: \(x < 3\).