Which is the set of integers greater than -4 and less than or equal to 1? Choices: (A){-4, 0, 1} (B){-4, -3, -2, -1, 0, 1} (C){-3, -2, -1, 0, 1} (D){0, 1}

Question

Which is the set of integers greater than -4 and less than or equal to 1?   Choices: (A){-4, 0, 1} (B){-4, -3, -2, -1, 0, 1} (C){-3, -2, -1, 0, 1} (D){0, 1}

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Identify Inequality Signs: Let's first identify the inequality signs. We need to find the set of integers that are greater than -4 and less than or equal to 1. The inequality signs we are looking for are: > for greater than and <= for less than or equal to.Translate to Set Notation: Now, let's translate the inequalities into set notation. The set notation for integers greater than -4 and less than or equal to 1 is: {x | -4 < x <= 1}.List Integers in Range: Next, we need to list the integers that satisfy the inequality -4 < x <= 1. Remember that integers are whole numbers, so we need to list the whole numbers in this range. The integers greater than -4 are -3, -2, -1, 0, 1, 2, 3, ... and so on. However, we are only interested in those less than or equal to 1.Match with Given Choices: Listing the integers that satisfy both conditions, we get: -3, -2, -1, 0, 1. These are the integers that are greater than -4 and less than or equal to 1.Now, let's match our set of integers with the given choices. (A) {-4, 0, 1} includes -4, which is not greater than -4. (B) {-4, -3, -2, -1, 0, 1} also includes -4, which is not greater than -4. (C) {-3, -2, -1, 0, 1} does not include -4 and includes all integers from -3 to 1, which satisfies our condition. (D) {0, 1} does not include all integers greater than -4 and less than or equal to 1.

Which is the set of integers greater than $-4$ and less than or equal to $1$ ? $\newline$ Choices: $\newline$ (A) $\{-4, 0, 1\}$ $\newline$ (B) $\{-4, -3, -2, -1, 0, 1\}$ $\newline$ (C) $\{-3, -2, -1, 0, 1\}$ $\newline$ (D) $\{0, 1\}$

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