SOLUTION: A is the set of whole number factors of 12, and B is the set of whole number factors of 9. Determine
whether the statement B⊆A is true or false. Use a Venn diagram to suppor
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Question 728523: A is the set of whole number factors of 12, and B is the set of whole number factors of 9. Determine
whether the statement B⊆A is true or false. Use a Venn diagram to support your answer.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Draw a circle to represent the factors of 12. So the numbers 1, 2, 3, 4, 6, 12 go in this circle.
The question is: Does the circle representing the factors of 9 go completely in the circle we just drew? Surely 1 and 3, which are factors of 9, are also factors of 12. However, 9 is a factor of 9, but it is NOT a factor of 12.
So you'll have a circle that overlaps the previous circle, but a piece of it will be outside of the previous circle. The factors 1,3 go in the piece that's inside the "factors of 12 circle" and the number "9" goes in the piece that's outside the "factors of 12 circle"
So B⊆A is false since not all elements in B are also in A.
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