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If E = {1, 2}, how many subsets of E contain the element 1?

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Question: If E = {1, 2}, how many subsets of E contain the element 1?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 3

Solution: 

The subsets containing 1 are {1}, {1, 2}, and the empty set is not included.

If E = {1, 2}, how many subsets of E contain the element 1?

Practice Questions

Q1
If E = {1, 2}, how many subsets of E contain the element 1?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If E = {1, 2}, how many subsets of E contain the element 1?
  • 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.
  • Subsets – Understanding how to form subsets from a given set and the criteria for inclusion of specific elements.
  • Set Theory – Basic principles of set theory, including the definition of subsets and the inclusion of elements.
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