If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - X ?Group of answer choices{b, c, d}{i, o, u}{b, c, d, i, o, u}{a, e}

Step 1: Break Down the Problem

We need to find the difference between the two sets $Y$ and $X$, denoted as $Y - X$. This operation means we are looking for elements that are in $Y$ but not in $X$.

Step 2: Relevant Concepts

The difference between two sets $Y$ and $X$ can be defined as: $Y - X = \{ y \in Y \ | \ y \notin X \}$

Step 3: Analysis and Detail

Let’s identify the elements in each set:

• $X = \{ a, e, i, o, u \}$
• $Y = \{ a, b, c, d, e \}$

Now, we will check each element in $Y$ to see if it is also in $X$:

1. Element $a$: $a \in X$ — exclude it.
2. Element $b$: $b \notin X$ — include it.
3. Element $c$: $c \notin X$ — include it.
4. Element $d$: $d \notin X$ — include it.
5. Element $e$: $e \in X$ — exclude it.

From the analysis, the elements remaining in $Y$ that are not in $X$ are $\{ b, c, d \}$.

Step 4: Verify and Summarize

We have successfully identified which elements in $Y$ are not in $X$. Therefore, $Y - X = \{ b, c, d \}$

Final Answer

The result of $Y - X$ is: $\{ b, c, d \}$