Question

Question was provided via image upload.

Explanation:

Step1: Expand the right side

Expand \(3(x - 4)\) to get \(3x - 12\). So the inequality becomes \(3x < 3x - 12\).

Step2: Subtract \(3x\) from both sides

Subtract \(3x\) from each side: \(3x - 3x < 3x - 12 - 3x\), which simplifies to \(0 < -12\).

Step3: Analyze the result

The statement \(0 < -12\) is false. This means there are no solutions to the inequality.

Answer:

For the first part (solution set): B. The solution set is \(\varnothing\).
For the graph: D. The solution set is \(\varnothing\).