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Find the set of all z such that neither 2+z nor 2-z is in the interval (-1,1]. Express your answer as an interval or as a union of intervals.

 Jul 7, 2020
 #1
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If z>=0,
2+z > 1 -- z > -1
2-z <= -1 -- z >= 3

If z<0,
2-z > 1 -- z < 1
2+z <= -1 -- z <= -3

 

If you graph on a number line, you will find your answer. Check a few values to make sure they work, especially at the boundaries.

 

smileysmileysmiley

 Jul 8, 2020

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