Question

Solve the compound inequality. NEED NOW.

Answer 1

y < -3 and y > 7

Explanation:

-5 + 2 = 3

5 + 2 = 7

Answer 2

`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.