Linda Seales

2021-12-14

Solve.

$\left|\frac{6x+2}{4}\right|>4$

Timothy Wolff

Beginner2021-12-15Added 26 answers

Step 1

Apply the properties of absolute value function, to remove the modulus sign in the given inequality.

If |x|>a, a>0 then x>a or -x>a.

Step 2

To find the value of x, multiply by 4, then subtract 2 and divide by 6 on both sides of the inequalities (1) and (2).

6x+2>16

6x>16-2

>14

6x+2<-16

6x<-16-2

<-18

x<-3

Hence, x<-3 or