Question

What is the solution to the inequality StartFraction d Over 7 EndFraction + 4 ≤ 0? (–[infinity], –28) (–[infinity], –28] (28, [infinity]) [28, [infinity])

Answer 1

Answer:

(B)$(-\infty, -28]$

Step-by-step explanation:

Given the inequality:$\frac{d}{7}+4\leq 0$

$\dfrac{d}{7}+4\leq 0\\ Subtract 4 from both sides\\\dfrac{d}{7}+4-4\leq 0-4\\\dfrac{d}{7}\leq -4\\ Multiply both sides by 7\\\dfrac{d}{7}*7\leq -4*7\\d\leq-28$

Therefore, the solution to the inequality is: $(-\infty, -28]$.

The correct option is B.