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If E = {1, 2}, how many subsets of E contain the element 1?
If E = {1, 2}, how many subsets of E contain the element 1?
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Q1
If E = {1, 2}, how many subsets of E contain the element 1?
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The subsets containing 1 are {1}, {1, 2}, and the empty set is not included.
Questions & Step-by-step Solutions
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Q
Q: If E = {1, 2}, how many subsets of E contain the element 1?
Solution:
The subsets containing 1 are {1}, {1, 2}, and the empty set is not included.
Steps: 6
Show Steps
Step 1: Identify the set E, which is {1, 2}.
Step 2: Understand that a subset is a smaller set that can be formed from E.
Step 3: We want to find subsets that must include the element 1.
Step 4: List the possible subsets of E that include 1: {1} and {1, 2}.
Step 5: Note that the empty set does not contain 1, so it is not included.
Step 6: Count the subsets that contain 1: we have {1} and {1, 2}, which gives us a total of 2 subsets.
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