Question

solve the inequality and graph the solution.
( d + 13 leq 17 )
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
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Explanation:

Step1: Isolate the variable \( d \)

Subtract 13 from both sides of the inequality \( d + 13 \leq 17 \).

$$ d + 13 - 13 \leq 17 - 13 $$

Step2: Simplify both sides

Simplifying the left side gives \( d \), and simplifying the right side gives \( 4 \). So we have \( d \leq 4 \).

To graph the solution:

• The endpoint is at 4. Since the inequality is \( \leq \), the endpoint is a closed circle (filled in) at 4.
• The arrow points to the left (towards negative infinity) because we want all values of \( d \) that are less than or equal to 4.

Answer:

The solution to the inequality is \( d \leq 4 \). For the graph, plot a closed circle at 4 and draw an arrow pointing to the left (towards 0, 1, 2, 3, and beyond to the left on the number line).