I need help understanding linear inequalities. I'm trying to solve the following problem: (-x)/(2) < 1 How do I get rid of the 2 on the left side so it's just the x…

Question

I need help understanding linear inequalities. I'm trying to solve the following problem:


`(-x)/(2)` < 1

How do I get rid of the 2 on the left side so it's just the x? I know what I do to one side I have to do to the other, and I've broken the problem down to this so far. Any help would be appreciated. Thanks!

Answer 1

Answer: x> -2

Explanation:

step 1 :take 2 to the other side ,and 1 will multiply by 2 which will give you 2

step 2 : take the negative or -1 to the other side ( you will divide 2 by -1 ) which will result to a -2

step 3: most important thing to remember once you multiply or divide by a negative number you will have to change the inequality sign ( in this case the smaller than sign changes to bigger than because you divided by -1 in step 3 )

hope this helped

Answer 2

All you have to do is treat the inequality like an equation and multiply both sides by 2.

`-x<2 \\ \\ x>-2`