Question

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Answer 1

I think you need to show us the graph for this problem

Answer 2

it's d

Answer 3

What you do is plug in a point that works for both lines. If you try (2, -4) and plug it in to both equations for choice B, the second line doesn't work.

Answer 4

When you plug it in to choice D, however, it works.

Answer 5

With the second inequality:
\[\begin{align*}4x-5y&>20\\
-5y&>-4x+20\\
y&\color{red}{<}\frac{4}{5}x-4
\end{align*}\]

Answer 6

Any easy way to check is to pick the origin (0,0). Put x = 0 and y = 0 in each inequality and you can figure out which side of the dotted line should be shaded for each of the inequalities.