Question

Solve the inequality 5x-7<2x -1

Answer 1

To solve the inequality, we have to isolate x. Here's how:


`5x-7\ \textless \ 2x-1 \\ (5x-7)+7\ \textless \ (2x-1)+7 \\ 5x\ \textless \ 2x+6 \\ (5x)-2x\ \textless \ (2x+6)-2x \\ 3x\ \textless \ 6 \\ (3x)/(3) \ \textless \ (6)/(3) \\ x\ \textless \ 2`

Your answer is x<2.

Hope this helps!

Answer 2

You have to move the x's to one side so
5x-2x<-1+7
3x<6
Then you get x alone so you divide both sides by 3
X<2
You switch the sign
X>2