Respuesta :

Genius102

Answer:

m <  −4/3


Step-by-step 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



gmany

[tex]-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<-\dfrac{20}{15}\qquad\text{simplify}\\\\m<-\dfrac{20:5}{15:5}\\\\\boxed{m<-\dfrac{4}{3}}[/tex]

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