SOLUTION: how do you graph the inequality y>2abolute value sign x+3 close absolute value sign -3

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Question 668891: how do you graph the inequality y>2abolute value sign x+3 close absolute value sign -3
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
how do you graph the inequality y>2absolute value sign x+3 close absolute value sign -3
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Since the absolute value can never be negative it bottoms out
at x+3 = 0, or x = -3
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y = 2|x+3|-3
Plot a few points around x = -3, then draw the graph which is the boundary
for the inequality.
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If x = -6 y = 3
If x = -4 y = -1
If x = -2 y = -1
If x = -3 y = -3 (that is the bottom point
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Draw the v-shaped boundary by connecting those points.
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Since you want y to GREATER than the boundary shade the area
ABOVE the boundary.
Cheers,
Stan H.
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Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

since the solution for is equal to or , we have


.....set and solve for
....=>.....=>.... or

or, if








solution interval: is defined for



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