Answer :

Answer:

-4<x<10

Step-by-step explanation:

2* abs(x-3) - 4 < 10

Add 4 both sides

2*abs(x-3)<14

Divide both sides by 2

abs(x-3) < 7

Now, you can split it

-7<x-3<7

and add 3 to all sides

-4<x<10

Answer:-4<x<10

Step-by-step explanation:

STEP 1:

Rearrange this Absolute Value Inequality

Absolute value inequality entered

     2|x-3|-4 < 10

Another term is moved/added to the right-hand side.

     2|x-3| < 14

STEP 2:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 2|x-3|

For the Negative case we'll use -2(x-3)

For the Positive case we'll use 2(x-3)

STEP 3:

Solve the Negative Case

     -2(x-3) < 14

    Multiply

     -2x+6 < 14

    Rearrange and Add up

     -2x < 8

    Divide both sides by 2

     -x < 4

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     x > -4

    Which is the solution for the Negative Case

STEP 4:

Solve the Positive Case

     2(x-3) < 14

    Multiply

     2x-6 < 14

    Rearrange and Add up

     2x < 20

    Divide both sides by 2

     x < 10

Which is the solution for the Positive Case

STEP 5 :

Wrap up the solution

   -4 < x < 10