Question

express the inequality using interval notation.
x < -6 or x > -2
answer attempt 1 out of 2
interval notation:

Explanation:

Step1: Represent \(x < -6\) in interval notation

Use open parentheses for strict inequality, and \(-\infty\) for the lower bound: \((-\infty, -6)\)

Step2: Represent \(x > -2\) in interval notation

Use open parentheses for strict inequality, and \(\infty\) for the upper bound: \((-2, \infty)\)

Step3: Combine intervals with union symbol

Use \(\cup\) to represent "or" for disjoint intervals: \((-\infty, -6) \cup (-2, \infty)\)

Answer:

\((-\infty, -6) \cup (-2, \infty)\)