Question

express the interval using two different representations. -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 answer attempt 1 out of 2 , , ) (, (, ) -∞ ∞ ∪ < > ≤ ≥ or interval notation: (-∞, -7) inequality notation: x < -7

Explanation:

Step1: Analyze left number line segment

The left segment has an open circle at -7, pointing left (toward negative infinity), so it includes all numbers less than -7.
Interval notation: $(-\infty, -7)$
Inequality notation: $x < -7$

Step2: Analyze right number line segment

The right segment has an open circle at 8, pointing right (toward positive infinity), so it includes all numbers greater than 8.
Interval notation: $(8, \infty)$
Inequality notation: $x > 8$

Step3: Combine the two segments

Since the graph shows two separate segments, we use the union symbol $\cup$ to combine them.

Answer:

Interval Notation: $(-\infty, -7) \cup (8, \infty)$
Inequality Notation: $x < -7$ or $x > 8$