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If A = {1, 2, 3} and B = {1, 2, 3, 4}, what is A ⊆ B?
If A = {1, 2, 3} and B = {1, 2, 3, 4}, what is A ⊆ B?
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If A = {1, 2, 3} and B = {1, 2, 3, 4}, what is A ⊆ B?
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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.
Questions & Step-by-step Solutions
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Q: If A = {1, 2, 3} and B = {1, 2, 3, 4}, what is A ⊆ B?
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.
Steps: 8
Show Steps
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.
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