Question

Solve -x + 2 < 3x - 6

Answer 1

-x+2<3x-6 subtract 2 from both sides

-x<3x-8  subtract 3x from both sides

-4x<-8  divide both sides by -4 (and reverse sign because of division by a negative value!)

x>2

Answer 2

Remember you can do anything to an equation as long as you do it to both sides ( and when mulitply or divide by a negative, flip sign)


-x+2<3x-6
add x both sides
2<4x-6
add 6 both sides
8<4x
divide by 4
2<x
x>2