Question

Solve the inequality
-5(3m-2)>30

Answer 1

`-5(3m-2)>30\qquad\text{use distributive property}\\\\(-5)(3m)+(-5)(-2)>30\\\\-15m+10>30\qquad\text{subtract 10 from both sides}\\\\-15m>20\qquad\text{change the signs}\\\\15m<-20\qquad\text{divide both sides by 15}\\\\m<-(20)/(15)\qquad\text{simplify}\\\\m<-(20:5)/(15:5)\\\\\boxed{m<-(4)/(3)}`

Answer 2

m < −4/3

Explanation:

−5(3m−2)>30

Simplify both sides of the inequality.

−15m+10>30

Subtract 10 from both sides.

−15m+10−10>30−10

−15m>20

Divide both sides by -15.

−15m/−15 > 20/−15

m<−4/3