2 Answers

Ruifgmonteiro · Answer 1 · 2020-02-14T14:04:29+0000

Answer:

$y\in(-\infty ,-3)\cup(7,\infty )$

Explanation:

We have been given the compound inequality

y -2 < -5 or y -2 > 5

Since 2 is in subtraction with y hence in order to eliminate it we can do the reverse operation of subtraction which is addition.

Hence, add 2 to both sides

y -2+2 < -5+2 or y -2+2 > 5+2

y < -3 or y > 7

In interval notation, we have

$y\in(-\infty ,-3)\cup(7,\infty )$

The graph has been shown in the attached file.

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