Question

write the solution to the inequality.
$5d + 35 = 75$
$d = 8$
$5d + 35 \geq 75$
$d \boxed{>} 8$

Explanation:

Step1: Subtract 35 from both sides

To solve the inequality \(5d + 35 \geq 75\), we first subtract 35 from both sides. This is done to isolate the term with the variable \(d\).
\[
5d + 35 - 35 \geq 75 - 35
\]
Simplifying both sides, we get:
\[
5d \geq 40
\]

Step2: Divide both sides by 5

Next, we divide both sides of the inequality by 5 to solve for \(d\). Dividing both sides of an inequality by a positive number does not change the direction of the inequality sign.
\[
\frac{5d}{5} \geq \frac{40}{5}
\]
Simplifying both sides, we find:
\[
d \geq 8
\]

Answer:

\(d \geq 8\)