Question

solve the inequality and graph the solution.
\\( \frac { d } { 2 } + 7 \leq 11 \\)
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.

Explanation:

Step1: Solve the inequality

Subtract \(7\) from both sides of the inequality \(\frac{d}{2}+7\geq11\).
\(\frac{d}{2}+7 - 7\geq11 - 7\)
\(\frac{d}{2}\geq4\)
Multiply both sides by \(2\): \(d\geq8\)

Step2: Graph the solution

Since \(d\geq8\), we plot a closed - circle at \(d = 8\) (because the inequality is \(\geq\), including the value \(8\)) and draw an arrow to the right (towards larger values of \(d\)) on the number line.

Answer:

The solution of the inequality is \(d\geq8\). On the number line, we have a closed - circle at \(8\) and an arrow pointing to the right.