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2 votes
Solve the inequality for x and identify the graph of its soluti

|x+2|< 2
Choose the answer that gives both the correct solution and the correct graph.
OA. Solution: x>-4 and x < 0
-
-7 -6 -5 -4 -3 -2 -1 0 1
OB. Solution: x < -4 or x > 0
T
-7 -6 -5 -4 -3 -2 -1 0 1 2
C. Solution: x<0 or x> 4
161
-3 -2 -1 0 1
D. Solution: x>-4 and x < 0
2 3
2
3
3 4 5 6 7

1 Answer

3 votes

Answer:

D

Explanation:

|x+2|<2

|x+2|<2 --> split abs. value equations into two parts. Flip the sign for the negative value

x+2<2 and x+2>-2

x+2<2 --> x<0

x+2>-2. --> x>-4

solituon. -4<x<0