Let M = {-10, -5} and N = {-6, -5, -4}. What is M ∪ N? Choices: (A){-5} (B){-10, -6, -5, -4} (C){-10} (D){-10, -6, -4}

Understand Union of Sets: Understand the concept of union of sets. The union of two sets M and N, denoted by M ∪ N, is the set of elements that are in M, in N, or in both. To find the union, we combine the elements from both sets without repeating any elements.List Set M: List the elements of set M. Set M = {-10, -5}List Set N: List the elements of set N. Set N = {-6, -5, -4}Combine Sets for Union: Combine the elements of sets M and N to form the union. M ∪ N = {-10, -5, -6, -4} Note that -5 is in both sets, but we only list it once in the union.Write Union Set: Write the union set in ascending order (optional, for clarity). M ∪ N = {-10, -6, -5, -4}Match with Choices: Match the union set with the given choices. The correct choice that matches the union set is (B){-10, -6, -5, -4}.

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Let $M = \{-10, -5\}$ and $N = \{-6, -5, -4\}$ . What is $M \cup N$ ? $\newline$ Choices: $\newline$ (A) $\{-5\}$ $\newline$ (B) $\{-10, -6, -5, -4\}$ $\newline$ (C) $\{-10\}$ $\newline$ (D) $\{-10, -6, -4\}$

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Math Problems

Grade 8

Write variable expressions for arithmetic sequences

Full solution

Q. Let

M = \{-10, -5\}

and

N = \{-6, -5, -4\}

. What is

M \cup N

\newline

Choices:

\newline

(A)

\{-5\}

\newline

(B)

\{-10, -6, -5, -4\}

\newline

(C)

\{-10\}

\newline

(D)

\{-10, -6, -4\}

Understand Union of Sets: Understand the concept of union of sets. The union of two sets $M$ and $N$ , denoted by $M \cup N$ , is the set of elements that are in $M$ , in $N$ , or in both. To find the union, we combine the elements from both sets without repeating any elements.
List Set M: List the elements of set M. $\newline$ Set M = $\{-10, -5\}$
List Set $N$ : List the elements of set $N$ . $\newline$ Set $N = \{-6, -5, -4\}$
Combine Sets for Union: Combine the elements of sets $M$ and $N$ to form the union. $M \cup N = \{-10, -5, -6, -4\}$ Note that $-5$ is in both sets, but we only list it once in the union.
Write Union Set: Write the union set in ascending order (optional, for clarity). $\newline$ $M \cup N = \{-10, -6, -5, -4\}$
Match with Choices: Match the union set with the given choices. $\newline$ The correct choice that matches the union set is $(B)\{-10, -6, -5, -4\}$ .