Let A = {1, 2, 3} and B = {2, 4}. What is A ∪ B? Choices: (A){1, 3, 4} (B){1, 2, 3, 4} (C){2} (D){4}

Identify Sets A and B: Identify the elements of set A and set B. Set A = {1, 2, 3} Set B = {2, 4}Combine Unique Elements: Combine all unique elements from both sets to form the union. The union of two sets, denoted by A ∪ B, includes all the elements that are in A, or in B, or in both. A ∪ B = {1, 2, 3, 4}Check Answer: Check the answer against the provided choices. The correct answer is (B){1, 2, 3, 4}, which matches our calculated union of sets A and B.

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Let $A = \{1, 2, 3\}$ and $B = \{2, 4\}$ . What is $A \cup B$ ? $\newline$ Choices: $\newline$ (A) $\{1, 3, 4\}$ $\newline$ (B) $\{1, 2, 3, 4\}$ $\newline$ (C) $\{2\}$ $\newline$ (D) $\{4\}$

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Math Problems

Grade 8

Write variable expressions for arithmetic sequences

Full solution

Q. Let

A = \{1, 2, 3\}

and

B = \{2, 4\}

. What is

A \cup B

\newline

Choices:

\newline

(A)

\{1, 3, 4\}

\newline

(B)

\{1, 2, 3, 4\}

\newline

(C)

\{2\}

\newline

(D)

\{4\}

Identify Sets A and B: Identify the elements of set A and set B. $\newline$ Set A = ${1, 2, 3}$ $\newline$ Set B = ${2, 4}$
Combine Unique Elements: Combine all unique elements from both sets to form the union. $\newline$ The union of two sets, denoted by $A \cup B$ , includes all the elements that are in $A$ , or in $B$ , or in both. $\newline$ $A \cup B = \{1, 2, 3, 4\}$
Check Answer: Check the answer against the provided choices. $\newline$ The correct answer is (B) ${1, 2, 3, 4}$ , which matches our calculated union of sets $A$ and $B$ .