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1) If A= {1, 2, 3, 3), then A is called _____ set. (a) finite (b) infinite (c) set (d)...

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jora7 | Student, Undergraduate | (Level 1) Honors

Posted January 1, 2012 at 2:57 PM via web

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1) If A= {1, 2, 3, 3), then A is called _____

(a) finite (b) infinite (c) set (d) not a set

2) If A = {x / x>0,   x _____ elements.



Is it a finite set? not sure.

second questions got options such as - (a) 5   (b) 4  (c) 6   (d) none of the above.


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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted January 2, 2012 at 12:54 AM (Answer #1)

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The set is finite because you know how many terms the set comprises. The cardinality of the set A is 4 (there are 4 elements in the set).

For the second problem, you must consider the (b) option.

I should explain to you why you need to consider (b) option. Notice that the property of the elements of the set A claims that these elements x are larger than 0. Since the set A comprises the elements {1,2,3,3}, which are all positive, hence, counting the elements of the set A yields 4.

Hence, the  answer to the first question is (a) option: set A is finite and the answer to the second question is (b) option: the set A comprises 4 elements.

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