How do you solve #\frac{1}{4} x + \frac{7}{2} < \frac{3}{4} - \frac{5}{2} x#?

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Answer 1 · 2016-09-30T07:52:13

See explanation.

The starting inequality is:

#1/4x+7/2<3/4-5/2x#

The ferst step to solve it to multiply by the least common multiplier (4) to transform all numbers to integers.

Now we have to move terms with #x# to one side and numbers to other.

Final step is to divide both sides by #11#.

Finally the answer is #x<-1# or in interval form #x in (-oo;-1)#