Answer
Not a function
Graph of $4x-5y<15$
Work Step by Step
To graph the given inequality, $4x-5y<15$, graph its equivalent inequality first and use a testpoint to determine the area of the solution.
The equation, $
4x-5y=15
$, is a line. To graph this equation, use substitution to find two points that are on the line defined by the equation.
Using substitution,
\begin{array}{l|r}
\text{If }x=0: & \text{If }x=5:
\\\\
4(0)-5y=15 & 4(5)-5y=15
\\
0-5y=15 & 20-5y=15
\\
-5y=15 & -5y=15-20
\\\\
y=\dfrac{15}{-5} & -5y=-5
\\\\
y=-3 & y=\dfrac{-5}{-5}
\\\\
& y=1
.\end{array}
Therefore, the points $(0,-3)$ and $(5,1)$ are on the line defined by the given equation. Plotting these points and connecting these using a broken line (since the inequality used is $
