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14 Nov 2018, 01:32
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:06) correct
18%
(01:29)
wrong
based on 142
sessions
History
Date
Time
Result
Not Attempted Yet
The range of set \(X\) is \(9\) and the range of set \(Y\) is \(18\). Which of the following cannot be the range of the union of sets \(X\) and \(Y\)?
\(A. 9\)
\(B. 18\)
\(C. 27\)
\(D. 36\)
\(E. 45\)
\(A. 9\)
\(B. 18\)
\(C. 27\)
\(D. 36\)
\(E. 45\)
14 Nov 2018, 01:44
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MathRevolution
Good question!!Here is my approach.
The minimum range will be the max of range of the two sets.
The max range is 18 of the sets so minimum range of two sets is 18.
Now notice the options all are greater than equal to 18 except option A.Bingo ..that's are option.
Hence,OA is A
16 Nov 2018, 03:19
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=>
The range of a union is greater than or equal to the maximum of the ranges of the two sets. Thus, the range of the union of \(X\) and \(Y\) is greater than or equal to \(18\).
Therefore, the answer is A.
Answer: A
The range of a union is greater than or equal to the maximum of the ranges of the two sets. Thus, the range of the union of \(X\) and \(Y\) is greater than or equal to \(18\).
Therefore, the answer is A.
Answer: A
