Question

Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set: A ∪ C Group of answer choices

Answer 1

Answer:

$A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$

Step-by-step explanation:

Given: $\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}$, $\text{A}=\left \{\text{q, s, u, w, y} \right \}$, $\text{B}=\left \{\text{q, s, y, z} \right \}$,

$\text{C}=\left \{\text{v, w, x, y, z} \right \}$.

To find: The elements in the set $A \cup C$.

Solution:

We have,

$\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}$

$\text{A}=\left \{\text{q, s, u, w, y} \right \}$

$\text{B}=\left \{\text{q, s, y, z} \right \}$

$\text{C}=\left \{\text{v, w, x, y, z} \right \}$

Now, $A \cup C$ will contain all the elements in the set $A$ and all the elements in set $C$.

So, $A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$.

Hence, $A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$.