Question

PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME!!!!!!!! THATS ALL. I WILL GIVE POINTS, FAN, MEDAL. PLEASE, I AM SO BAD AT MATH PLEASE HELP HELP HELP!!!!!!!!!!!!!!!!!!!
An inequality is shown below: −np − 5 ≤ 4(c − 2) Which of the following solves for n?

Select one:
a. n ≥ − the quantity 4 times c minus 3 all over p
b. n ≥ − the quantity 4 times c minus 13 all over p
c. n ≤ − the quantity 4 times c minus 3 all over p
d. n ≤ − the quantity 4 times c minus 13 all over p

Answer 1

B n ≥ − the quantity 4 times c minus 13 all over p       

Answer 2

The answer is choice A

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Work Shown:

$-np - 5 \le 4(c-2)$

$-np - 5+5 \le 4(c-2)+5$ Adding 5 to both sides

$-np \le 4(c-2)+5$

$-np \le 4(c)+4(-2)+5$ Distributive Property

$-np \le 4c-8+5$

$-np \le 4c-3$

$n*(-p) \le 4c-3$

$\frac{n*(-p)}{-p} \ge \frac{4c-3}{-p}$ See note below

$n \ge -\frac{4c-3}{p}$

So that's why the answer is choice A

Note: In this step, I divided both sides by -p. Dividing both sides of an inequality by a negative number will flip the sign. So that's why we go from a "less than or equal to" sign to a "greater than or equal to" sign.