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

1 Answer
Sep 30, 2016

See explanation.

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.

x+14<3-10x

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

x+10x<3-14

11x<-11

Final step is to divide both sides by 11.

x<-1

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