Question

graph the compound inequality on the number line.\\(x \leq -6\\) or \\(x \geq 2\\)

Explanation:

Step1: Graph $x \leq -6$

1. Locate $-6$ on the number line.
2. Use a closed (filled) dot at $-6$ (since the inequality includes equality, $\leq$).
3. Draw an arrow pointing left from $-6$ to represent all values less than or equal to $-6$.

Step2: Graph $x \geq 2$

1. Locate $2$ on the number line.
2. Use a closed (filled) dot at $2$ (since the inequality includes equality, $\geq$).
3. Draw an arrow pointing right from $2$ to represent all values greater than or equal to $2$.

Answer:

• A closed dot at $-6$ with an arrow extending left to $-10$ (and beyond).
• A closed dot at $2$ with an arrow extending right to $10$ (and beyond).