How do you graph the system #x>=2# and #y+x<=5#?

1 Answer
Jun 2, 2015

Consider the equations
#color(white)("XXXXX")##x=2# which is a vertical line through #(2,0)#
#color(white)("XXXXX")##color(white)("XXXXX")##x>=2# will be all points on this line plus all points to the right of it

#color(white)("XXXXX")##y+x=5# which is a line through the points #(0,5) and (5,0)#
#color(white)("XXXXX")##color(white)("XXXXX")##y+x<=5# will be all points on this line and all points below and to the left of it.

#x>=2 and y+x<=5# will be the intersection of these two areas
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