Question

solve the inequality and graph the solution.
-8 + 7d > 6
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.
-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Isolate the term with \( d \)

Add 8 to both sides of the inequality \( -8 + 7d > 6 \).
\( -8 + 8 + 7d > 6 + 8 \)
Simplify: \( 7d > 14 \)

Step2: Solve for \( d \)

Divide both sides by 7.
\( \frac{7d}{7} > \frac{14}{7} \)
Simplify: \( d > 2 \)

Step3: Graph the solution

• The solution is \( d > 2 \), so the endpoint is at 2 (open circle, since \( d \) is not equal to 2).
• Draw an arrow to the right (since \( d \) is greater than 2) starting from the open circle at 2.

Answer:

The solution to the inequality is \( d > 2 \). For the graph, plot an open circle at 2 and draw an arrow pointing to the right (toward values greater than 2).