rmatl05
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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, ∞)

Respuesta :

Answer:

Option C.(–∞, 2] ∪ (8, ∞)

Step-by-step explanation:

we know that

The solution of the inequality [tex]x > 8[/tex] Is the interval (8,∞)

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

therefore

The solution of  [tex]x > 8[/tex] or [tex]x\leq 2[/tex] is equal to

(-∞,2] U (8,∞)