Question

I need help figuring out how to do this compound inequality.
4 ≤ 3x + 1 ≤ 9

Answer 1

Our goal is to get x alone.
What would be the first step?

Answer 2

since it says to add 1 do you subtract the one from the 9?

Answer 3

Correct we subtract 1
HOWEVER what we do to one number we do to all
Like this:

Answer 4

4-1=?

Answer 5

3

Answer 6

1-1=?

Answer 7

0

Answer 8

Good so it cancels
9-1=?

Answer 9

8

Answer 10

Good now we have
3 ≤ 3x ≤ 8
Whats next?

Answer 11

Any ideas?

Answer 12

that's where i'm stuck

Answer 13

wait do i add the 3 and 8 together?

Answer 14

Well rememeber that we want to get x alone how would we do that? What would we have to do with the 3 hint it would be the opposite of multiplcation.

Answer 15

No we would not add

Answer 16

divide

Answer 17

Perfect

What would we be left with?