algebra

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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.

  • algebra -

    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

  • algebra -

    +/-4 means plus or - 4

  • algebra -

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

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