Question

Andrew solved the following inequality and his work is shown below:
-4(x + 8) + 25 ≤ -2 + 1(x - 50)

-4x - 32 + 25 ≤ -2 + 1x - 50

-4x - 7 ≤ 1x - 52

-5x ≤ -45

x ≤9

What mistake did Andrew make in solving the inequality? (2 points)


He added 7 to both sides when he should have added 52.
When dividing by -5, he did not change the ≤ to ≥.
He subtracted 1x from both sides when he should have added 4x.
He did not make a mistake.

Answer 1

@3mar

Answer 2

hi

Answer 3

Yes

Answer 4

if we review each line, we can see what operations were used in each step.

Answer 5

first we have distribution, which involves multiplying from outside the parentheses into the parentheses, as follows: