Which is the set of numbers less than or equal to 4 or greater than 7? Choices: (A){x | x ≤ 4 or x > 7} (B){x | x ≤ 4 or x < 7} (C){x | x < 4 or x ≥ 7} (D){x | x < 4 and x ≥ 7}

Understand the problem: Understand the problem. We need to find the set of numbers that are either less than or equal to 4 or greater than 7.Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers less than or equal to 4, we use ＂x ≤ 4＂. For numbers greater than 7, we use ＂x > 7＂.Combine conditions: Combine the two conditions using the word ＂or＂ as indicated in the problem. The correct set notation will include both conditions separated by ＂or＂.Match with choices: Match the combined condition with the given choices. The correct set notation that represents the set of numbers less than or equal to 4 or greater than 7 is ＂{x | x ≤ 4 or x > 7}＂.Verify answer: Verify the answer by checking if any other choice could potentially match the conditions. Choice (B) ＂{x | x ≤ 4 or x < 7}＂ includes numbers between 4 and 7, which is not what we want. Choice (C) ＂{x | x < 4 or x ≥ 7}＂ excludes the number 4 and includes numbers equal to 7, which is also incorrect. Choice (D) ＂{x | x < 4 and x ≥ 7}＂ is not possible because a number cannot be both less than 4 and greater than or equal to 7 at the same time.

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Which is the set of numbers less than or equal to $4$ or greater than $7$ ? $\newline$ Choices: $\newline$ (A)\{x | x \leq 4 \text{ or } x > 7\} $\newline$ (B)\{x | x \leq 4 \text{ or } x < 7\} $\newline$ (C)\{x | x < 4 \text{ or } x \geq 7\} $\newline$ (D)\{x | x < 4 \text{ and } x \geq 7\}

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Q. Which is the set of numbers less than or equal to

4

or greater than

7

\newline

Choices:

\newline

(A)

\{x | x \leq 4 \text{ or } x > 7\}

\newline

(B)

\{x | x \leq 4 \text{ or } x < 7\}

\newline

(C)

\{x | x < 4 \text{ or } x \geq 7\}

\newline

(D)

\{x | x < 4 \text{ and } x \geq 7\}

Understand the problem: Understand the problem. We need to find the set of numbers that are either less than or equal to $4$ or greater than $7$ .
Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers less than or equal to $4$ , we use $x \leq 4$ . For numbers greater than $7$ , we use x > 7.
Combine conditions: Combine the two conditions using the word ＂or＂ as indicated in the problem. The correct set notation will include both conditions separated by ＂or＂.
Match with choices: Match the combined condition with the given choices. The correct set notation that represents the set of numbers less than or equal to $4$ or greater than $7$ is \{x | x \leq 4 \text{ or } x > 7\}.
Verify answer: Verify the answer by checking if any other choice could potentially match the conditions. Choice (B) ＂{x | x \leq 4 \text{ or } x < 7}＂ includes numbers between $4$ and $7$ , which is not what we want. Choice (C) ＂{x | x < 4 \text{ or } x \geq 7}＂ excludes the number $4$ and includes numbers equal to $7$ , which is also incorrect. Choice (D) ＂{x | x < 4 \text{ and } x \geq 7}＂ is not possible because a number cannot be both less than $4$ and greater than or equal to $7$ at the same time.