Question

Describe the set of numbers using interval notation.

x > 8 or x ≤ 2

A. [2, 8)

B. (–∞, 2] ∩ (8, ∞)

C.(–∞, 2] ∪ (8, ∞)

D. (–∞, 2) ∪ (8, ∞)

Answer 1

Option C.(–∞, 2] ∪ (8, ∞)

Explanation:

we know that

The solution of the inequality
`x > 8` Is the interval (8,∞)

The solution of the inequality
`x\leq 2` Is the interval (-∞,2]

therefore

The solution of
`x > 8` or
`x\leq 2` is equal to

(-∞,2] U (8,∞)