Question

choose the answer that best describes the relationship between {z, a, 2} and {y, 3, x}
a. {z, a, 2} ⊂ {y, 3, x}
b. {z, a, 2} ⊆ {y, 3, x}
c. both a and b.
d. neither a nor b.
a
b
c
d

Explanation:

Step1: Define subset symbols

Proper subset ($\subset$): All elements of set $X$ are in set $Y$, and $X
eq Y$.
Subset ($\subseteq$): All elements of set $X$ are in set $Y$, or $X = Y$.

Step2: Compare set elements

The set $\{z, A, 2\}$ has distinct elements $z, A, 2$. The set $\{y, 3, x\}$ has distinct elements $y, 3, x$. There is no overlap or indication that all elements of the first set belong to the second set.

Step3: Evaluate options

• Option a: $\{z, A, 2\} \subset \{y, 3, x\}$ is false, as elements do not match.
• Option b: $\{z, A, 2\} \subseteq \{y, 3, x\}$ is false, as elements do not match.
• Option c: Both a and b is false.
• Option d: Neither a nor b is true.

Answer:

d. Neither a nor b.