Question

Solve for x: 4 − (x + 2) < −3(x + 4)

x > −9
x < −7
x > −7
x < −9
I keep getting x < -9 but then I got it wrong. I am aloud to retake this quiz but I need help getting the answer.

Answer 1

Are you remembering to factor the negative across the whole group? Such as -(x+2)=-x-2?

Answer 2

wait. . . why would that be -x-2?

Answer 3

Whenever you have a number in front of a group of terms, you must distribute that value across the whole group. For example,
\[2(x+1)=2x+2\] Whenever we have a negative, it is the same as using -1, therefore, we have to distribute both the 1 and the negative across the group.
\[-1(x+2)=-x-2\]

Answer 4

In your expression we can simplify the left side as:
\[4-(x+2) \rightarrow 4+(-1)(x+2) \rightarrow 4-x-2 \rightarrow 2-x\]

Answer 5

Thank you! That helped. So the correct answer is x < -7 right?

Answer 6

X<-7

Answer 7

ok thank you

Answer 8

:)