If a hybrid set is defined as A ∪ B, which of the following is true?

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Question: If a hybrid set is defined as A ∪ B, which of the following is true?

Options:

Correct Answer: It includes all elements from A and B.

Solution:

The union of sets A and B includes all elements from both sets, regardless of whether they are common or unique.

If a hybrid set is defined as A ∪ B, which of the following is true?

If a hybrid set is defined as A ∪ B, which of the following is true?

Step 1: Understand what a set is. A set is a collection of distinct objects or elements.
Step 2: Know what the symbol '∪' means. It represents the union of two sets.
Step 3: Identify the two sets involved, which are A and B.
Step 4: The union of sets A and B (A ∪ B) means you combine all the elements from both sets.
Step 5: Include every element from set A and every element from set B in the union.
Step 6: If there are elements that are in both sets, you only list them once in the union.
Step 7: The final result is a new set that contains all unique elements from both A and B.

Set Theory – Understanding the union of sets, which combines all unique elements from both sets.