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State with reasons which of the following sets are empty :

(i) A = { a | a is a positive integer and a + 1 = 0}

(ii) B = { x | x= 0, x is an integer}

(iii) Q = A cube with 8 faces

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

(i) A = { a | a is a positive integer and a + 1 = 0}

A = {}, since a  being a positive integer , a + 1 = 0 is not possible. 

(ii) B = { x | x= 0, x is an integer} 

B = {} , since square of any integer is never zero.

(iii) Q = A cube with 8 faces

Q = {} , as a cube has only 6 faces
Answered by Expert 4th June 2014, 3:23 PM
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