Question

solve the inequality and graph the solution.
-1 ≥ 5d - 16
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
(a number line with ticks at -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)
submit

Explanation:

Step1: Add 16 to both sides

To isolate the term with \( d \), we add 16 to both sides of the inequality. This gives us:
\( -1 + 16 \geq 5d - 16 + 16 \)
Simplifying both sides, we get:
\( 15 \geq 5d \)

Step2: Divide both sides by 5

To solve for \( d \), we divide both sides of the inequality by 5. This gives us:
\( \frac{15}{5} \geq \frac{5d}{5} \)
Simplifying both sides, we get:
\( 3 \geq d \)
Which can also be written as \( d \leq 3 \)

Answer:

The solution to the inequality \( -1 \geq 5d - 16 \) is \( d \leq 3 \). To graph this, we plot a closed dot at 3 (since the inequality is "less than or equal to") and draw a ray to the left of 3 to represent all values of \( d \) that satisfy the inequality.