your question:
True or false: z=−5 is a solution to the inequality −2|z−3|<−20.
answer:
-2|z-3|<-20
-------. -----
-2 -2
|z-3|<10
equation 1: equation 2:
z-3<10. z-3>-10
z<13 z>-13
So false, z=-5 is not a solution to the inequality.
hope this helps, have a great day! :)