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Makovka662 [10]
3 years ago
5

What is the interval notation for the compound inequality? x ≤ −4 or x ≥ 5

Mathematics
1 answer:
torisob [31]3 years ago
8 0

Answer:

(-∞, -4] ∪ [5, ∞)

Step-by-step explanation:

Hi!

Alright, so greater (or less) than or equal to is denoted with a bracket.

If x is less than or equal to -4, then the bracket is on the left side.

(___, -4]

Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.

So, x \leq -4 = (-∞, -4]

X\geq5

Equal to = bracket

X is any number above 5, so

[5, ∞)

Because we want both of these, we use the union sign (∪)

so,

= (-∞, -4] ∪ [5, ∞)

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