incukahlan
contestada

I need help understanding linear inequalities. I'm trying to solve the following problem:
[tex]\frac{-x}{2}[/tex] < 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!

Respuesta :

chikafujiwara

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

[tex]-x<2 \\ \\ x>-2[/tex]

Answer: x> -2

Step-by-step 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