Question

Solve the following inequalities for the variable x13<_-2x+5

Answer 1

`13\le-2x+5`

Subtracting 5 at both sides:

`\begin{gathered} 13-5\le-2x+5-5 \\ 8\le-2x \end{gathered}`

Dividing by -2 (notice that dividing by a negative number changes the sign):

`\begin{gathered} (8)/(-2)\ge(-2x)/(-2) \\ -4\ge x \end{gathered}`