Question
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Set is all the unique three-digit numbers using the digits , and 5 .
Which set would be considered a subset of set ?
Set is all the unique three-digit numbers using the digits 1,3 , and 5 .
Set is all the unique three-digit numbers using the digits 2,4 , and 6 .
Set is all the unique three-digit numbers using the digits 0,2 , and 4 .
Set is all the unique three-digit numbers using the digits 3,5 , and 7 .

Ask by Jimenez Nichols. in the United States
Jan 21,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Set is a subset of set .

Solution

To determine which set is a subset of set , let’s analyze each option based on the digits they use:
  • Set : Contains all unique three-digit numbers using the digits 1, 2, 3, 4, and 5.
  • Set : Uses the digits 1, 3, and 5.
    • All digits (1, 3, 5) are in set .
    • Therefore, is a subset of .
  • Set : Uses the digits 2, 4, and 6.
    • Digit 6 is not in set .
    • Therefore, is not a subset of .
  • Set : Uses the digits 0, 2, and 4.
    • Digit 0 is not in set (since only includes digits 1 through 5).
    • Therefore, is not a subset of .
  • Set : Uses the digits 3, 5, and 7.
    • Digit 7 is not in set .
    • Therefore, is not a subset of .
Conclusion: Only Set is a subset of set .
Answer: Set is a subset of set .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Mind Expander

To determine which set is a subset of set , we first look at the digits used in each set. Set consists of the unique three-digit numbers formed using the digits and .
Set uses the digits and , which are all contained within set , making it a valid subset. Sets and use digits that include and respectively, which are not in set . Therefore, they cannot be subsets.
Thus, the only set that is a subset of set is set .

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