SOLUTION: 2|X+1/4|

SOLUTION: 2|X+1/4| < 9

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)

RELATED QUESTIONS
x/4 - 9 =... (answered by Alan3354,ikleyn)

3[9(x + 4) + 2(x +... (answered by jim_thompson5910)

-9 (x+2)-4 <2... (answered by jim_thompson5910,MathLover1)

(9/4)^-1/2 (answered by askmemath)

5/2 x +1/4 x =9/4 +x.... (answered by checkley77)

1/4(x+4)=9 (answered by stanbon)

1/x-1/9=4/9-2/3x (answered by Alan3354)

4 1/9 + 9... (answered by Alan3354,JimiLee35)

9(x-4)^2+1=0 (answered by jrfrunner)