Solve the inequality -5(x-7)

Question

Solve the inequality -5(x-7)<15 algebraically for x.

anonymous · Answer

-5(x-7)<15
Distribute 
-5x+35<15
Subtract both sides by 35
-5x<-20
divide both sides by -5
x = 4

anonymous · Answer

Does that help?

anonymous · Answer

oops i forgot a part. -5x < -20 divide both sides by -5, since we are dividing by a negitive we change the sign from < to >. so x > 4 @Hero Yeah, I noticed that right as a posted

hero · Answer

-5(x-7)<15

add 5(x - 7) to both sides:

0 < 15 + 5(x - 7)

Subtract -15 from both sides

-15 < 5(x - 7)
-15 < 5x - 35

Add 35 to both sides
35 - 15 < 5x
20 < 5x

Divide both sides by 5
20/5 < x
4 < x which is the same as x > 4

anonymous · Answer

Thanks for the answer guys.

hero · Answer

The goal is for you to learn how to do these on your own. The answer is meaningless if you are not learning how to do these yourself.