Question

Graph the inequality -5x+2y>6

Answer 1

The first thing we are going to do ti graph our inequality is solve for $y$:
$-5x+2y\ \textgreater \ 6$
$2y\ \textgreater \ 5x+6$
$y\ \textgreater \ \frac{5}{2} x+ \frac{6}{2}$
$y\ \textgreater \ \frac{5}{2} x+3$

Since $y$ has to be bigger than $\frac{5}{2} x+3$, the graph of our inequality will be all the points to the left of the line $y=\frac{5}{2} x+3$

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