How do you graph #x-6y+3>0#?

1 Answer
Apr 27, 2017

Everything below the line #y=\frac{x}{6}+\frac{1}{2}#, excluding the line.

Explanation:

To make this easier, make the inequality a function of y. First, add #6y# to both sides and simplify.
#6y< x+3#
#y<\frac{x+3}{6}#

Plotting the function gives you the following graph
graph{(x+3)/6 [-10, 10, -5, 5]}
Since the inequality states that y is less than the value of the functions, we shade in everything below the line and make it a dashed line.