How do you graph #-2x-y<4# on the coordinate plane?

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Answer 1 · 2017-05-03T20:40:45

#x>##-y/2-2#

#-2x-y<4#

add y to both sides:

#-2x<##y+4#

divide both sides by #-2#. be sure to flip the sign because youre dividing by a negative number:

#x>##-y/2-2#

to graph the inequality, you can plug in any x value to find the matching y value. For example:

#-2(1)-y<4#
#y>##-6#
#(1,-6)#

#-2(7)-y<4#
#y>##-18#
#(7,-18)#

you can use the points to find the line of inequality.
graph{x>(-y/2)-2 [-32.66, 3 2.67, -16.33, 16.33]}