What does the set {x | x -4} represent? Choices: (A)all numbers less than -4 (B)all numbers greater than -4 (C)all numbers greater than or equal to -4 (D)all numbers less than or equal to -4

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What does the set {x | x > -4} represent?   Choices: (A)all numbers less than -4  (B)all numbers greater than -4  (C)all numbers greater than or equal to -4  (D)all numbers less than or equal to -4

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Set Notation Explanation: The set notation {x | x > -4} is read as ＂the set of all x such that x is greater than -4.＂ This means we are looking at all the numbers on the number line that are to the right of -4, not including -4 itself. Comparison with Choices: To determine which choice correctly describes the set, we compare the description in the set notation to the descriptions given in the choices. The set notation specifies ＂greater than -4,＂ which means we are looking for a choice that includes all numbers that are to the right of -4 on the number line. Choice (A) Analysis: Choice (A) says ＂all numbers less than -4,＂ which would be to the left of -4 on the number line, so this is not correct. Choice (B) Analysis: Choice (B) says ＂all numbers greater than -4,＂ which matches the description in the set notation, indicating all numbers to the right of -4 on the number line. This seems to be the correct choice. Choice (C) Analysis: Choice (C) says ＂all numbers greater than or equal to -4,＂ which is not correct because the set notation does not include -4 itself; it only includes numbers strictly greater than -4. Choice (D) Analysis: Choice (D) says ＂all numbers less than or equal to -4,＂ which is the opposite of what the set notation describes, so this is not correct.

What does the set \{x | x > -4\} represent? $\newline$ Choices: $\newline$ (A)all numbers less than $-4$ $\newline$ (B)all numbers greater than $-4$ $\newline$ (C)all numbers greater than or equal to $-4$ $\newline$ (D)all numbers less than or equal to $-4$

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What does the set \{x | x > -4\} represent?\newlineChoices:\newline(A)all numbers less than −4-4−4 \newline(B)all numbers greater than −4-4−4 \newline(C)all numbers greater than or equal to −4-4−4 \newline(D)all numbers less than or equal to −4-4−4

What does the set \{x | x > -4\} represent? $\newline$ Choices: $\newline$ (A)all numbers less than $-4$ $\newline$ (B)all numbers greater than $-4$ $\newline$ (C)all numbers greater than or equal to $-4$ $\newline$ (D)all numbers less than or equal to $-4$