Question

Please help me with this math problem

Answer 1

-23/4<x<11/4

or

-5.75<x<2.75

Explanation:

|4x+6|<17

To solve the first part, assume the values inside the absolute are negative

So, -4x-6<17

-4x<23

Because the x is negative, you flip the sign to make it positive.

Thus, 4x>-23

x>-23/4 or -5.75

To solve the second part, assume the values inside the absolute are positive

So, 4x+6<17

4x<11

x<11/4 or 2.75