Question

1. $x > - 1$ 4. $x leq - 6$

Explanation:

Step1: Interpret inequality $x > - 1$

On the number - line, we use an open - circle at $-1$ (since $x$ is strictly greater than $-1$) and shade to the right.

Step2: Interpret inequality $x\leq - 6$

On the number - line, we use a closed - circle at $-6$ (since $x$ can be equal to $-6$) and shade to the left.

Answer:

The number - line for $x > - 1$ has an open circle at $-1$ and shading to the right. The number - line for $x\leq - 6$ has a closed circle at $-6$ and shading to the left.