Question

URGENT 25 PTS IF ANSWERED PLEASE HELP

solve the equation |2x+ 4| = 8

a. x=-12 or x=4
b. x= -6 or x=2
c. x= 2 only
d. x - 6 only
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Answer 1

b. x= -6 or x=2

Explanation:

|2x+ 4| = 8

The absolute value equation has 2 solutions, one positive and one negative

2x+4 = 8 2x+4 = -8

Subtract 4 from each side

2x+4-4 = 8-4 2x+4-4 = -8-4

2x = 4 2x = -12

2x/2 =4/2 2x/2 = -12/2

x =2 x = -6