Question

which graph best represents the solution set of $y > 3x - 4$?

Explanation:

Step1: Determine the type of line

For the inequality \(y>3x - 4\), since the inequality sign is \(>\) (not \(\geq\)), the boundary line \(y = 3x-4\) should be a dashed line.

Step2: Determine the shaded region

We can use a test - point. Let's take the point \((0,0)\).
Substitute \(x = 0\) and \(y = 0\) into the inequality \(y>3x - 4\).
We get \(0>3\times0 - 4\), which simplifies to \(0>- 4\) (a True statement).
So, the region containing the point \((0,0)\) should be shaded.

Answer:

C