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| x + 11| < 17
Solving for your ABSOLUTE VALUE
x + 11 < 17 ; x + 11 > -17
Solving solution #1
x + 11 < 17
SUBTRACT by 11 on your sides
x + 11 - 11 < 17 - 11
Cancel out: 11 - 11 because it gives you 0
Keep: 17 - 11 because it helps us compare with x
17 - 11 = 6
Answer #1: x < 6
Solving solution #2
x + 11 > -17
SUBTRACT by 11 on your sides
x + 11 - 11 > -17 - 11
Cancel out: 11 - 11 because it gives you the value of 0
Keep: -17 - 11 because it helps us compare with x
-17 - 11 = -28
Answer #2: x > -28
Overall answer: x < 6 and x > -28
Its an OPEN circle shaded to the left
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