Question

On a piece of paper, graph y + 2 ≤ -32 + 4. Then determine which answer choice matches the graph you drew.
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00, 71 *
no, 20 *
10. 2) "
18. 21*4
16. 21%
16 21%
Taxi description for graph

Answer 1

To solve the inequality \( y + 2 \leq -32 + 4 \), let's first simplify the equation.

1. Simplify the right side:
\[
-32 + 4 = -28
\]

2. Rewrite the inequality:
\[
y + 2 \leq -28
\]

3. Subtract 2 from both sides:
\[
y \leq -28 - 2
\]
\[
y \leq -30
\]

Now that we've simplified the inequality to \( y \leq -30 \), we can describe how the graph should look.

### Graphing the inequality \( y \leq -30 \):
- The boundary line is the horizontal line at \( y = -30 \).
- Since the inequality is \( \leq \), we will draw a solid line (indicating that the line is included in the solution).
- The area below this line will be shaded to represent all the values where \( y \) is less than or equal to -30.

### Description of the graph:
- **Horizontal line** at \( y = -30 \) (solid line)
- **Shaded region** below the line, indicating all points where \( y \leq -30 \) (downward from the line).

### Matching answer choice:
Unfortunately, I cannot see the answer choices you provided, but here's how you can match your graph:
- Look for an option that has a solid horizontal line at \( y = -30 \) and the shaded region below this line.

If you provide the answer options in more detail, I can help you identify which one matches your graph!