Marcie solved the following inequality, and her work is shown below:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)
−2x + 10 − 12 ≤ 4 + 6x + 18
−2x − 2 ≤ 6x + 22
−8x ≤ 24
x ≤ −3

what mistake did marcie make in solving the inequality?

she subtracted 6x from both sides when she should have added 2x.
she added 2 to both sides when she should have subtracted 22.
when dividing by −8, she did not change the ≤ to ≥.
she did not make a mistake.

When dividing by −8, she did not change the ≤ to ≥

Step-by-step explanation:

Marcie solved the following inequality

-2 and 6 is distributed inside the parenthesis and did it correctly

Like terms are combined and it is correct.

Like terms are combined further

When we divide or multiply an inequality by a negative number then we change the inequality sign.

When dividing by −8, she did not change the ≤ to ≥

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

think the answer would beb