Question:
If $A = \{1, 3, 7, 9, 11\}$ and $B = \{3, 9, 12, 15, 18\}$ then $A \cap B$ is:
If $A = \{1, 3, 7, 9, 11\}$ and $B = \{3, 9, 12, 15, 18\}$ then $A \cap B$ is:
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Intersection ($\cap$) means "AND" (must be in both), while Union ($\cup$) means "OR" (in at least one).
Updated On: May 20, 2026
- $\{1, 3, 9, 12, 15, 18\}$
- $\{1, 7, 11\}$
- $\{1, 3, 7, 9, 11, 12, 15, 18\}$
- $\{3, 9\}$
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The Correct Option is D
Solution and Explanation
Concept:
The intersection of two sets, denoted by $A \cap B$, is a set containing all elements that are members of both set $A$ and set $B$.
Step 1: List the elements of both sets.
$A = \{1, \mathbf{3}, 7, \mathbf{9}, 11\}$
$B = \{\mathbf{3}, \mathbf{9}, 12, 15, 18\}$
Step 2: Identify common elements.
Scanning set $A$ and checking against set $B$: - Is 1 in $B$? No. - Is 3 in $B$? Yes. - Is 7 in $B$? No. - Is 9 in $B$? Yes. - Is 11 in $B$? No.
Step 3: Form the intersection set.
The only common elements are 3 and 9. Therefore: \[ A \cap B = \{3, 9\} \]
Step 1: List the elements of both sets.
$A = \{1, \mathbf{3}, 7, \mathbf{9}, 11\}$
$B = \{\mathbf{3}, \mathbf{9}, 12, 15, 18\}$
Step 2: Identify common elements.
Scanning set $A$ and checking against set $B$: - Is 1 in $B$? No. - Is 3 in $B$? Yes. - Is 7 in $B$? No. - Is 9 in $B$? Yes. - Is 11 in $B$? No.
Step 3: Form the intersection set.
The only common elements are 3 and 9. Therefore: \[ A \cap B = \{3, 9\} \]
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