Question

2x+5<11

order the steps to solve the inequality

2x+5<11 is graphed how?

Answer 1

To solve the inequality \( 2x + 5 < 11 \), follow these steps in order:

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:
\[
x < 3
\]

The solution to the inequality is \( x < 3 \).

### Graphing the Inequality

To graph the inequality \( x < 3 \):

1. Draw a number line (horizontal line).
2. Locate the point \( 3 \) on the number line.
3. Since the inequality is strictly less than (<), draw an open circle at \( 3 \) to indicate that \( 3 \) is not included in the solution.
4. Shade to the left of \( 3 \) to represent all values less than \( 3 \).

This visually represents the solution set of the inequality \( x < 3 \).