SOLUTION: How do I solve this true or false problem and correction? If |w-7| <-3,then w-7>-3 or w-7<3 ? true or false? if false,please correct the underlined portion. -------

Algebra ->  Equations -> SOLUTION: How do I solve this true or false problem and correction? If |w-7| <-3,then w-7>-3 or w-7<3 ? true or false? if false,please correct the underlined portion. -------      Log On


   



Question 1059225: How do I solve this true or false problem and correction?
If |w-7| <-3,then w-7>-3 or w-7<3 ? true or false? if false,please correct the underlined portion.
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Thank you.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
How do I solve this true or false problem and correction?
If |w-7| <-3, then w-7>-3 or w-7<3 ? true or false? if false,please correct the underlined portion.
----------
Thank you.
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|w-7| is ALWAYS positive, so it CAN NOT be less than -3.


I don't know WHAT and HOW I can correct in your writing.
Everything is wrong in it.


BOTH options "then" are FALSE. As well as the phrase preceding to "then".


For clarity I attach the plot.


graph%28+330%2C+330%2C+-2.5%2C+16.5%2C+-4.5%2C+10.5%2C%0D%0A++++++++++abs%28x-7%29%0D%0A%29

Plot y = |x - 7|.