How do you graph #y > 6x+5# and #y< -6x+7#?

1 Answer
Alan P.
Aug 4, 2015

Determine the areas represented by each inequality and then select only the area covered by both selections

Explanation:

#color(red)("For " y > 6x - 5)#
#color(white)("XXXX")#Identify 2 points on the corresponding equality equation
#color(white)("XXXX")##color(white)("XXXX")#I used (#x=0 rarr y=-5#) and (#x=2 rarr y=-5#)

#color(white)("XXXX")#Draw the line through these two points (noting that in this case the line is not to be included) and select the side corresponding to the inequality.
#color(white)("XXXX")##color(white)("XXXX")#One way to do this is to test if #(0,0)# is in the included or excluded area.

#color(blue)("For " y < -6x + 7)#
#color(white)("XXXX")#Repeat the above process

#color(green)("Select area common to both")#
#color(white)("XXXX")#(see image below)
enter image source here

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