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

Understand Intersection Definition: Understand what S ∩ T represents. The intersection of two sets, denoted by S ∩ T, includes all the elements that are common to both sets S and T.Identify Common Elements: Identify the common elements in sets S and T. We have: S = {1, 3, 5, 7, 9} T = {5, 8, 9} The common elements in both sets are 5 and 9.Write Intersection: Write down the intersection of S and T. S ∩ T = {5, 9}

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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) $\{1, 3, 5, 7, 8, 9\}$ $\newline$ (B) $\{5, 9\}$ $\newline$ (C) $\{5\}$ $\newline$ (D) $\{3, 5, 8\}$

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Math Problems

Algebra 1

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)

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

\newline

(B)

\{5, 9\}

\newline

(C)

\{5\}

\newline

(D)

\{3, 5, 8\}

Understand Intersection Definition: Understand what $S \cap T$ represents. $\newline$ The intersection of two sets, denoted by $S \cap T$ , includes all the elements that are common to both sets $S$ and $T$ .
Identify Common Elements: Identify the common elements in sets $S$ and $T$ . We have: $S = \{1, 3, 5, 7, 9\}$ $T = \{5, 8, 9\}$ The common elements in both sets are $5$ and $9$ .
Write Intersection: Write down the intersection of $S$ and $T$ . $S \cap T = \{5, 9\}$