How do you graph #3x - y < 4#?

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Answer 1 · 2018-08-01T05:37:59

#" "#
Please read the explanation.

#" "#
How do we graph #color(red)(3x-y<4#

Subtract #color(blue)(3x# from both sides of the inequality

#3x-y-3x<4-3x#

#cancel (3x)-y-cancel(3x)<4-3x#

#-y<4-3x#

Multiply both the sides of the inequality by #color(blue)((-1)#

Remember to reverse the inequality.

#(-1)(-y)>(-1)(4-3x)#

#y > -4+3x#

#y>3x-4#

Now we can graph this simple inequality:

enter image source here

The dotted line indicates value that is NOT part of the solution.

Hope it helps.