Question

set v is all the unique three - digit numbers using the digits 1, 2, 3, 4, and 5. which set would be considered a subset of set v? set w is all the unique three - digit numbers using the digits 1, 3, and 5. set x is all the unique three - digit numbers using the digits 2, 4, and 6. set z is all the unique three - digit numbers using the digits 3, 5, and 7. set y is all the unique three - digit numbers using the digits 0, 2, and 4.

Explanation:

Step1: Recall Subset Definition

A subset has all elements in the original set. Set \( V \) uses digits \( \{1,2,3,4,5\} \).

Step2: Analyze Each Set

• Set \( W \): Digits \( \{1,3,5\} \subseteq \{1,2,3,4,5\} \). Valid.
• Set \( X \): Digit \( 6

otin \{1,2,3,4,5\} \). Invalid.

• Set \( Z \): Digit \( 7

otin \{1,2,3,4,5\} \). Invalid.

• Set \( Y \): Digit \( 0

otin \{1,2,3,4,5\} \). Invalid.

Answer:

Set W (all the unique three - digit numbers using the digits 1, 3, and 5)