# How do you graph x-2y<=6?

Dec 11, 2016

graph{y>=x-3 [-10, 10, -5, 5]}

#### Explanation:

the equation needs to be rearranged to make $y$ the subject of the formula:

$x - 2 y \le 6$

subtract $x$:

$- 2 y \le 6 - x$

divide by $- 2$:

$y \ge - 3 + x \mathmr{and} x - 3$

[NB: when multiplying or diving by negative numbers, the inequality sign reverses]

to graph the inequality:

draw the line $y = x - 3$

find the region where $y \le x - 3$ (e.g. the point $\left(5 , 3\right)$)

[NB: use a solid line for weak inequalities]