Question

SOLVE. Graph and write both set-builder notation and interval notation

Answer 1

First let's solve the inequation by isolating the variable x:

`\begin{gathered} 2x\le x-9 \\ 2x-x\le-9 \\ x\le-9 \end{gathered}`

Now, writing the solution in the set-builder notation, we have:

`\mleft\lbrace x\mright|x\le-9\}`

x ≤ -9

In the interval notation, we have:

`(\infty,-9\rbrack`

Outside editor: (∞, -9]