Question

7[3m-(m+2)]>-6(m-3)find m.

Answer 1

m > -1/2

Step-by-step explanation:

`7\lbrack3m-(m+2)\rbrack\text{ > 6(m-3)}`

First we open the bracket:

`\begin{gathered} 7\lbrack3m-m-2\rbrack\text{ > 6(m-3)} \\ 7\lbrack2m\text{ -2\rbrack > 6m - 18} \\ 14m\text{ - 14 > 6m -18} \end{gathered}`

Collect like terms:

`\begin{gathered} 14m\text{ - 6m > -18 + 14} \\ 8m\text{ > -}4 \\ \text{Divide through by 8} \\ m\text{ > }(-4)/(8) \\ m>\text{ }(-1)/(2) \end{gathered}`