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]