If set H contains elements {a, b, c} and set I contains elements {b, c, d}, what

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Question: If set H contains elements {a, b, c} and set I contains elements {b, c, d}, what is the union of these two sets?

Options:

Correct Answer: {a, b, c, d}

Solution:

The union of sets H and I is {a, b, c, d}, which includes all unique elements from both sets.

If set H contains elements {a, b, c} and set I contains elements {b, c, d}, what is the union of these two sets?

If set H contains elements {a, b, c} and set I contains elements {b, c, d}, what is the union of these two sets?

Step 1: Identify the elements in set H. Set H contains {a, b, c}.
Step 2: Identify the elements in set I. Set I contains {b, c, d}.
Step 3: List all unique elements from both sets. Start with elements from set H: a, b, c.
Step 4: Add elements from set I that are not already in set H. The elements b and c are already included, so only add d.
Step 5: Combine all unique elements together. The combined unique elements are {a, b, c, d}.
Step 6: Write the final answer. The union of sets H and I is {a, b, c, d}.

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