Question

Solve and check13≤x/-5+9

Answer 1

We want to find the solution of the following inequality

`13\le(x)/((-5))+9`

To find the solution for this inequality, we can start by multiplying both sides by (-5).

When we multiply an inequality by a negative number, the "side" of the sign changes

`\begin{gathered} 13\le(x)/((-5))+9 \\ (-5)\cdot(13)\ge(-5)\cdot((x)/((-5))+9) \\ -65\ge x-45 \end{gathered}`

And finally, we can add 45 to both sides of the equation to get our solution.

`\begin{gathered} -65\ge x-45 \\ -65+45\ge x-45+45 \\ -20\ge x \\ x\le-20 \end{gathered}`

This is our final answer.

`x\le-20`