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If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, what is A ⊆ B?

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Question: If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, what is A ⊆ B?

Options:

  1. True
  2. False
  3. Depends on the context
  4. None of the above

Correct Answer: True

Solution: 

Set A is a subset of set B because all elements of A are contained in B. Therefore, A ⊆ B is True.

If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, what is A ⊆ B?

Practice Questions

Q1
If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, what is A ⊆ B?
  1. True
  2. False
  3. Depends on the context
  4. None of the above

Questions & Step-by-Step Solutions

If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, what is A ⊆ B?
  • Step 1: Identify the elements in set A, which are {1, 2, 3}.
  • Step 2: Identify the elements in set B, which are {1, 2, 3, 4, 5}.
  • Step 3: Check if every element in set A is also in set B.
  • Step 4: Look at each element in A: 1 is in B, 2 is in B, and 3 is in B.
  • Step 5: Since all elements of A (1, 2, and 3) are found in B, we conclude that A is a subset of B.
  • Step 6: Therefore, we can say A ⊆ B is True.
  • Subset – A set A is a subset of set B (A ⊆ B) if every element of A is also an element of B.
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