Question

Write the inequality shown by the shaded region in the graph of the boundary line negative 5X + 3Y equals -12

Answer 1

To do this, we make y the subject of formula in the equation

`-5x+3y=-12`

This becomes

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

Above the line is usually greater than or equal to, while below the line is less than or equal to.

Hence the inequality is

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

Less than or equal to, because it is a solid line and not a broken line

So, the answer becomes

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