What does the set {x | x ≤ 0} represent? Choices: (A)all numbers greater than 0 (B)all numbers equal to 0 (C)all numbers less than or equal to 0 (D)all numbers greater than or equal to 0

Understand set notation: Understand the set notation. The set {x | x ≤ 0} uses the symbol ＂≤＂ which means ＂less than or equal to.＂Determine satisfying numbers: Determine what numbers satisfy the inequality x ≤ 0. This includes all numbers that are less than 0 and the number 0 itself.Match correct description: Match the correct description to the set notation. The set {x | x ≤ 0} includes 0 and all negative numbers, which corresponds to ＂all numbers less than or equal to 0.＂Review and select choice: Review the choices given and select the one that matches our description from Step 3. (A) all numbers greater than 0 - Incorrect, as we need numbers less than or equal to 0. (B) all numbers equal to 0 - Incorrect, as we need all numbers less than 0 as well. (C) all numbers less than or equal to 0 - Correct, as it matches our description. (D) all numbers greater than or equal to 0 - Incorrect, as it includes numbers greater than 0.

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What does the set $\{x | x \leq 0\}$ represent? $\newline$ Choices: $\newline$ (A)all numbers greater than $0$ $\newline$ (B)all numbers equal to $0$ $\newline$ (C)all numbers less than or equal to $0$ $\newline$ (D)all numbers greater than or equal to $0$

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Q. What does the set

\{x | x \leq 0\}

represent?

\newline

Choices:

\newline

(A)all numbers greater than

0

\newline

(B)all numbers equal to

0

\newline

(C)all numbers less than or equal to

0

\newline

(D)all numbers greater than or equal to

0

Understand set notation: Understand the set notation. The set ${x | x \leq 0}$ uses the symbol $\leq$ which means \text{\＂less than or equal to.＂}
Determine satisfying numbers: Determine what numbers satisfy the inequality $x \leq 0$ . This includes all numbers that are less than $0$ and the number $0$ itself.
Match correct description: Match the correct description to the set notation. The set ${x | x \leq 0}$ includes $0$ and all negative numbers, which corresponds to ＂all numbers less than or equal to $0$ .＂
Review and select choice: Review the choices given and select the one that matches our description from Step $3$ . $\newline$ (A) all numbers greater than $0$ - Incorrect, as we need numbers less than or equal to $0$ . $\newline$ (B) all numbers equal to $0$ - Incorrect, as we need all numbers less than $0$ as well. $\newline$ (C) all numbers less than or equal to $0$ - Correct, as it matches our description. $\newline$ (D) all numbers greater than or equal to $0$ - Incorrect, as it includes numbers greater than $0$ .