SOLUTION: -3<3m+1/4<3

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Question 112982: -3<3m+1/4<3
Answer by jim_thompson5910(28510) About Me  (Show Source):
You can put this solution on YOUR website!
-3%3C3m%2B1%2F4%3C3 Start with the given compound inequality

4%28-3%29%3C4%283m%2B1%2F4%29%3C4%283%29 Multiply all sides by the LCM 4 (notice this is the denominator of 1%2F4). The goal of this move is to eliminate the fraction 1%2F4


4%28-3%29%3C4%2A3m%2B4%281%2F4%29%3C4%283%29 Distribute


-12%3C12m%2B4%2F4%3C12 Multiply


-12%3C12m%2B1%3C12 Reduce


-12-1%3C12m%2B1-1%3C12-1 Subtract 1 from all sides


-13%3C12m%2Bcross%281-1%29%3C11 Combine like terms


-13%3C12m%3C11 Simplify


-13%2F12%3Ccross%2812%2F12%29m%3C11%2F12 Divide all sides by 12 to isolate m


So our answer is


-13%2F12%3Cm%3C11%2F12