Questions: Let X and Y be the following sets: X=6,12,18,24 Y=12,18 Which of the following is the set X ∩ Y ? Choose 1 answer: (A) 12,18 (B) 6,24 (c) (D) 6,12,18,24

Transcript text: Let $X$ and $Y$ be the following sets: \[ \begin{array}{l} X=\{6,12,18,24\} \\ Y=\{12,18\} \] Which of the following is the set $X \cap Y$ ? Choose 1 answer: (A) $\{12,18\}$ (B) $\{6,24\}$ (c) \{\} (D) $\{6,12,18,24\}$

Solution

Solution Steps

Step 1: Define the Sets

We are given two sets: \[ X = \{6, 12, 18, 24\} \] \[ Y = \{12, 18\} \]

Step 2: Find the Intersection

The intersection of two sets, $ X \cap Y $, is the set of elements that are common to both $ X $ and $ Y $.

Step 3: Identify Common Elements

By examining the elements in both sets, we find that the common elements are: \[ \{12, 18\} \]

Final Answer

The set $ X \cap Y $ is $\boxed{\{12, 18\}}$. Therefore, the answer is (A).

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