Question 741417: |2x-1/3|≥(5)/(6)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! |2x-1/3|≥(5)/(6)
2x-1/3-(5)/(6)≥0
LCD:6
12x-2-5≥0
12x≥7
x=≥7/12
or
-2x+1/3-(5)/(6)≥0
LCD:6
-12x+2-5≥0
-12x≥3
x=≤-3/12=-1/4
..
number line:
<===-1/4].......[7/12===>
solution: (-∞,-1/4] U [7/12,∞)
..
check:
For x≥7/12
|2x-1/3|=|14/12-4/12|=10/12≥5/6
..
For x≤-1/4
|2x-1/3|=|-1/2-4/12|=10/12≥5/6
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