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

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

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 \}`.