Question
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 .
Which set would be considered a subset of set
Set
Set
Set
Set
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 .
- All digits (1, 3, 5) are in set
-
Set
: Uses the digits 2, 4, and 6. - Digit 6 is not in set
. - Therefore,
is not a subset of .
- Digit 6 is not in set
-
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 .
- Digit 0 is not in set
-
Set
: Uses the digits 3, 5, and 7. - Digit 7 is not in set
. - Therefore,
is not a subset of .
- Digit 7 is not in set
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
.