Problem 292
a. If two sets are equal, are they necessarily equivalent?
Why or why not?
b. If two sets are equivalent, are they necessarily equal?
Why or why not?
c. Draw a diagram of and write a statement describing the relationship between the ideas of two sets being equivalent and the idea of two sets being equal.
Solution
a. Yes, equal means both have same element and all equal sets are always equivalent also.
b. NO, equivalent shows number of elements are same may be they are same but not necessarily.
c. Equal sets have same elements and same number of elements
Equivalent sets have same number of elements but not same elements.
Equal A={1,2,3} , B = {1,2,3}
Equivalent A= {1,2,3}, B= {A,B,C}
