How do you solve #\frac { 3} { 4} \leq x - \frac { 7} { 8} < \frac { 5} { 6}#?

1 Answer
MeneerNask
Dec 23, 2016

We first get all the denominators the same:

Explanation:

#3/4xx6/6<=x-7/8xx3/3<5/6xx4/4#

#18/24<=x-21/24<20/24#

We now add #21/24# to all three terms:

#18/24+21/24<=x-cancel(21/24)+cancel(21/24)<20/24+21/24#

#39/24<=x<41/24#

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