number lines and inequality notation\nquestion\nexamples\nexpress the interval shown on the number line in…

Explanation:

Step1: Analyze left interval

The number line has a closed dot at -7, and the arrow points left (toward negative infinity), so this represents all numbers less than or equal to -7: $x \leq -7$

Step2: Analyze right interval

The number line has a closed dot at 8, and the arrow points right (toward positive infinity), so this represents all numbers greater than or equal to 8: $x \geq 8$

Step3: Combine intervals

Since the graph shows two separate intervals, use "or" to combine them.

Answer:

$x \leq -7$ or $x \geq 8$