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

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

Options:

  1. True
  2. False
  3. Depends on A
  4. Not enough information

Correct Answer: True

Solution: 

A is a subset of B if all elements of A are in B. Here, all elements of A are in B, so A ⊆ B is true.

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

Practice Questions

Q1
If A = {1, 2, 3} and B = {1, 2, 3, 4}, what is A ⊆ B?
  1. True
  2. False
  3. Depends on A
  4. Not enough information

Questions & Step-by-Step Solutions

If A = {1, 2, 3} and B = {1, 2, 3, 4}, what is A ⊆ B?
Correct Answer: True
  • Step 1: Identify the sets A and B. A = {1, 2, 3} and B = {1, 2, 3, 4}.
  • Step 2: Understand what it means for A to be a subset of B. A is a subset of B (A ⊆ B) if every element in A is also in B.
  • Step 3: Check each element of A to see if it is in B. The elements of A are 1, 2, and 3.
  • Step 4: Look for the first element of A (which is 1) in B. 1 is in B.
  • Step 5: Look for the second element of A (which is 2) in B. 2 is in B.
  • Step 6: Look for the third element of A (which is 3) in B. 3 is in B.
  • Step 7: Since all elements of A (1, 2, and 3) are found in B, we conclude that A is a subset of B.
  • Step 8: Therefore, A ⊆ B is true.
  • Subset Definition – 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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