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-7(1+5m)-29<300+7m

 Feb 24, 2021
 #1
avatar+31281 
+1

-7(1+5m)-29<300+7m     expand Left side

-7 - 35m - 29   <  300 + 7m    simplify by gathering 'like' terms

   -42m  < 336    divide by - 42   ( this reverses the <    to > )

      m  > 336/(-42)

       m > -8

 Feb 24, 2021
 #2
avatar+266 
+1

\(-7\left(1+5m\right)-29<300+7m\)

 

\(-35m-36<300+7m\)

 

\(-35m-36+36<300+7m+36\)

 

\(-35m<7m+336\)

 

\(-35m-7m<7m+336-7m\)

 

\(-42m<336\)

 

\(\left(-42m\right)\left(-1\right)>336\left(-1\right)\)

 

\(42m>-336\)

 

\(\frac{42m}{42}>\frac{-336}{42}\)

 

 \(m>-8\)

 

cheekycheekycheeky

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 Feb 25, 2021

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