13,925 views
21 votes
21 votes
Solve the equation

|X+2|+4 = 11

O X= 5
O no solution
O X=5,-9
O X= 7, -11

User Sjoerd Van Den Berg
by
2.8k points

1 Answer

24 votes
24 votes

Explanation:

it must have 2 solutions, as the absolute value makes negative and positive values equal.

so, 2 approaches : positive and negative.

1. positive

(x + 2) + 4 = 11

x + 6 = 11

x = 5

2. negative

-(x + 2) + 4 = 11

-x - 2 + 4 = 11

-x + 2 = 11

-x = 9

x = -9

so, the third answer (x = 5, -9) is correct.

User NominSim
by
2.5k points
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