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.
       ----------

Thank you.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



|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( 330, 330, -2.5, 16.5, -4.5, 10.5,
          abs(x-7)
)}}}


Plot y = |x - 7|.