Question

| 4x +2|=10 confirm your solution using a graph or table

Answer 1

Remove the absolute value term. 4x+2=10 solve this, x=2

Set up the negative portion 4x+2= -10 solve this, x= -3

Answer 2

x = -3 or +2

Explanation:

Such an equation resolves into two equations. The argument of the absolute value function can be either positive or negative, so there is one equation for each case.

4x +2 = 10

4x = 8 . . . . subtract 2

x = 2 . . . . . divide by 4

4x +2 = -10

4x = -12 . . . subtract 2

x = -3 . . . . . divide by 4

The two solutions are x=-3 and x=2.