Question

Hi, I need some help on my homework.
Can you help me?

True or False, if False correct the underlined portion.

1) If 3<x, then 3+y<x+y
2)If |w-7|<-3, then w-7>-3 or w-7<3
3) If -4<-2t+6<10, then 2>t+6>-5
4) If |y+8|+2=6, then y+8=+-4*
* the "+" is on top of "-", I didn't know how to type it in.
I would really appreciate the help.

Answer 1

1 is true

2 makes no sense/ an absolute value can not be negative.

3 but t = 0 ok for first but not for second

4 you mean
4) If |y+8|+2=6, then y+8=+/- 4

y + 8 + 2 = 6
then y = -4

-(y+8) + 2 = 6
-y - 8 + 2 = 6
- y - 6 = 6
-y = 12 NO or false

Answer 2

+/-4 means plus or - 4

Answer 3

Damon,
thank you so much!!
This helped a lot!