Question

whats the next step in the given solution to the inequality −6x − 10 > 14 + 2x.

−4x − 10 > 14

−8x − 10 > 14

−4x − 10 < 14

−8x − 10 < 14

Answer 1

-6x-10>14+2x
add 6x to both sides: -10>14+8x
subtract 14 from both sides: -24>8x
divide by x on both sides: -3>x

then you have to do the opposite: -6x-10<-(14+2x) = -6x-10<-14-2x
add 6x to both sides: -10<-14+4x
add 14 to both sides: 4<4x
divide 4 to both sides: 1<x

therefore your answer is x>-3 and x<1 or -3<x<1

Answer 2

also remember that if you divide by a negative number that is attached to x, then you have to change the sign.

ex: -4x>4 would be x<-1

Answer 3

thank you :)

Answer 4

no problem!