Question

Jon said m-1 is always greater than 1-m do you agree?

Answer 1

Lets suppose that m-1 is always greater than 1-m. Then, we can write:

`m-1>1-m`

If we move -1 to the right hand side and -m to the left hand side, we get

`m+m>1+1`

which gives

`2m>2`

If we move the coefficient of m to the right hand side (2 is positive so it doesnt flip the inequality symbol) we have

`\begin{gathered} m>(2)/(2) \\ m>1 \end{gathered}`

Therefore, Jon is correct if and only if m is greater than 1.