SOLUTION: -1/4 < 5-6x/12 &#8804; - 1/6 Write the set using interval notation and graph the solution set on the number line.

Algebra ->  Inequalities -> SOLUTION: -1/4 < 5-6x/12 &#8804; - 1/6 Write the set using interval notation and graph the solution set on the number line.       Log On


   



Question 919505: -1/4 < 5-6x/12 ≤ - 1/6
Write the set using interval notation and graph the solution set on the number line.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
-1/4 < 5-6x/12 ≤ - 1/6
Write the set using interval notation and graph the solution set on the number line.
-1/4 < 5-6x/12 ≤ - 1/6
lcd:12
-3 < 60-6x ≤ 2
-63 < -6x ≤ -58 (add(-60) to each term)
-63/-6 > x ≥ -58/-6(divide each term by (-6) and reverse inequality signs)
63/6 > x ≥ 29/3
number line:
<.......29/3<====>63/6.....>
solution: [29/3,63/6)