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

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Answer 1 · 2016-12-11T20:39:31

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

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

$x-2y <= 6$

subtract $x$ :

$-2y <= 6 - x$

divide by $-2$ :

$y >= -3 + x or x - 3$

[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 $y <= x - 3$ (e.g. the point $(5,3)$ )

[NB: use a solid line for weak inequalities]

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