Question 698730: 2|X+1/4| < 9
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! solve for x
2|X+1/4| < 9
solve for 2 possible conditions
..
2(x+1/4) < 9
2x+1/2< 9
2x<9-1/2=17/2
x<17/4
..
2(-x-1/4) < 9
-2x-1/2 < 9
-2x< 9+1/2
-2x<19/2
divide both sides by -2 and reverse inequality sign
x > -19/4
number line:
<.....(-19/4<==>17/4).........>
solution: (-19/4,17/4)
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