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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 *
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18. 21*4
16. 21%
16 21%
Taxi description for graph

1 answer

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!