Question

question
express the interval using two different representations.
(-∞, -8) ∪ (-3, ∞)
answer attempt 2 out of 2
( ) (, (, ) -∞ ∞ ∪ < > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Recall interval - inequality conversion

The open - interval \((-\infty,-8)\) means \(x < - 8\) and the open - interval \((-3,\infty)\) means \(x>-3\). The union \((-\infty,-8)\cup(-3,\infty)\) in inequality notation is \(x < - 8\) or \(x>-3\).

Answer:

Inequality Notation: \(x < - 8\) or \(x>-3\)
Number Line: An open - circle at \(x = - 8\) with an arrow pointing to the left and an open - circle at \(x=-3\) with an arrow pointing to the right.