Question

Write the inequality shown by the shaded region in the graph with the boundary line minus 5X plus 3Y equals -12

Answer 1

Rewrite the equation of the boundary line in the slope intercept form. In order to do that, solve for y:

`\begin{gathered} -5x+3y=-12 \\ 3y=5x-12 \\ y=(5)/(3)x-4 \end{gathered}`

Since the boundary line is continuous and the area is below the line, then:

`y\leq(5)/(3)x-4`