Question

I need help with this math problem

Answer 1

x<-5.5 or x>4.5

x<-11/2 or x>9/2

Explanation:

|4x+2|>20

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

So, -4x-2>20

-4x>22

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

Thus, 4x<-22

x<5.5 or -11/2

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

So, 4x+2>20

4x>18

x>4.5 or 9/2

Answer 2

x<-5.5 or x>4.5

Explanation:

If the absolute value is positive then

4x+2>20

4x>18

x>4.5

If the absolute value is negative then

-4x-2>20

-4x>22

x<-5.5

Using both of these, x<-5.5 or x>4.5