Question

2.) $xgeq - 6$ 4.) $4x < 12$

Explanation:

Step1: Solve the inequality $4x < 12$

Divide both sides by 4. So $x<\frac{12}{4}$, which simplifies to $x < 3$.

Step2: Graph $x\geq - 6$

On the number - line, put a closed circle at $x=-6$ (because the inequality is $\geq$) and shade to the right.

Step3: Graph $x < 3$

On the number - line, put an open circle at $x = 3$ (because the inequality is $<$) and shade to the left.

Answer:

For $x\geq - 6$, graph with a closed circle at $-6$ and shade right. For $4x < 12$ (or $x < 3$), graph with an open circle at $3$ and shade left.