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Let $S = \{1, 3, 5, 7, 9\}$ and $T = \{5, 8, 9\}$ . What is $S \cap T$ ? $\newline$ Choices: $\newline$ (A) $\{5, 9\}$ $\newline$ (B) $\{5\}$ $\newline$ (C) $\{1, 3, 5, 7, 8, 9\}$ $\newline$ (D) $\{3, 5, 8\}$

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Unions and intersections of sets

Full solution

Q. Let

S = \{1, 3, 5, 7, 9\}

and

T = \{5, 8, 9\}

. What is

S \cap T

?

\newline

Choices:

\newline

(A)

\{5, 9\}

\newline

(B)

\{5\}

\newline

(C)

\{1, 3, 5, 7, 8, 9\}

\newline

(D)

\{3, 5, 8\}

Understand Intersection of Sets: Understand what the intersection of two sets means. $\newline$ The intersection of two sets, denoted by $S \cap T$ , includes all the elements that are common to both sets $S$ and $T$ .
Identify Elements of Sets: Identify the elements of set $S$ and set $T$ . $\text{Set } S = \{1, 3, 5, 7, 9\}$ $\text{Set } T = \{5, 8, 9\}$
Find Common Elements: Find the common elements between sets $S$ and $T$ . The common elements that appear in both sets are $5$ and $9$ .
Write Intersection: Write down the intersection of sets $S$ and $T$ . $S \cap T = \{5, 9\}$

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