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? (2 points) 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.

She forgot to flip the inequality when dividing by a negative

Step-by-step explanation:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)

Distribute the -2 and the 6

-2x+10 -12 ≤ 4 + 6x + 18

Combine like terms

-2x-2 ≤  6x+22

Subtract 6x from each side

-2x-6x-2 ≤  6x-6x+22

-8x-2 ≤ +22

Add 2 to each side

-8x-2+2 ≤ +22+2

−8x ≤ 24

Divide by -3.  Remember when multiplying or dividing by a negative to flip the inequality

-8x/-8 ≥ 24/-8

x≥-3

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.