Which is the set of numbers less than or equal to 0 or greater than 8? Choices: (A){x | x ≤ 0 and x 8} (B){x | x 8} (C){x | x ≤ 0 or x 8} (D){x | x 8}

Question

Which is the set of numbers less than or equal to 0 or greater than 8? Choices: (A){x | x ≤ 0 and x > 8} (B){x | x < 0 or x > 8} (C){x | x ≤ 0 or x > 8} (D){x | x < 0 and x > 8}

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Understand the problem: Understand the problem. We need to find the set of numbers that are either less than or equal to 0 or greater than 8. This means we are looking for two separate ranges of numbers.Identify inequality signs: Identify the correct inequality signs. For numbers less than or equal to 0, we use ＂≤ 0＂. For numbers greater than 8, we use ＂> 8＂.Determine logical connector: Determine the logical connector. Since we are looking for numbers that are either in one range or the other, we use the logical ＂or＂ to connect the two conditions.Match with set notation choices: Match the conditions with the set notation choices. We need a set notation that includes ＂x ≤ 0＂ for numbers less than or equal to 0 and ＂x > 8＂ for numbers greater than 8, connected by ＂or＂.Find correct choice: Find the correct choice. Choice (A) uses ＂and＂, which is incorrect because we are not looking for numbers that satisfy both conditions simultaneously. Choice (B) uses the correct ＂or＂ but has ＂x < 0＂ instead of ＂x ≤ 0＂. Choice (D) also uses ＂and＂, which is incorrect. Choice (C) has the correct notation ＂{x | x ≤ 0 or x > 8}＂.

Which is the set of numbers less than or equal to $0$ or greater than $8$ ? $\newline$ Choices: $\newline$ (A)\{x | x \leq 0 \text{ and } x > 8\} $\newline$ (B)\{x | x < 0 \text{ or } x > 8\} $\newline$ (C)\{x | x \leq 0 \text{ or } x > 8\} $\newline$ (D)\{x | x < 0 \text{ and } x > 8\}

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Which is the set of numbers less than or equal to 000 or greater than 888?\newlineChoices:\newline(A)\{x | x \leq 0 \text{ and } x > 8\} \newline(B)\{x | x < 0 \text{ or } x > 8\} \newline(C)\{x | x \leq 0 \text{ or } x > 8\} \newline(D)\{x | x < 0 \text{ and } x > 8\}

Which is the set of numbers less than or equal to $0$ or greater than $8$ ? $\newline$ Choices: $\newline$ (A)\{x | x \leq 0 \text{ and } x > 8\} $\newline$ (B)\{x | x < 0 \text{ or } x > 8\} $\newline$ (C)\{x | x \leq 0 \text{ or } x > 8\} $\newline$ (D)\{x | x < 0 \text{ and } x > 8\}