Answer:
[tex]y\in(-\infty ,-3)\cup(7,\infty )[/tex]
Step-by-step 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
[tex]y\in(-\infty ,-3)\cup(7,\infty )[/tex]
The graph has been shown in the attached file.
