Question

Graph the inequality -5x+2y>6

Answer 1

The first thing we are going to do ti graph our inequality is solve for
`y`:

`-5x+2y\ \textgreater \ 6`

`2y\ \textgreater \ 5x+6`

`y\ \textgreater \ (5)/(2) x+ (6)/(2)`

`y\ \textgreater \ (5)/(2) x+3`

Since
`y` has to be bigger than
`(5)/(2) x+3`, the graph of our inequality will be all the points to the left of the line
`y=(5)/(2) x+3`

We can conclude that the graph of the inequality
`-5x+2y\ \textgreater \ 6` is: