Fsc Part 1 Mathematics (Complete Solution)

Q3
For each of the following sets, determine whether or not the set forms a group with respect to the indicated operation.

Set Operation
i) The set of rational numbers x
ii) The set of rational numbers +
iii) The set of positive rational numbers x
iv) The set of integers +
(v) The set of integers x

Solution:

The set of rational number denoted by Q and the set of integers is denotad by Z.

Operation
i) The set of rational numbers x Q is not a group under 'x'
ii) The set of rational numbers + Q is a group under '+'
iii) The set of positive rational numbers x This is a group 
iv) The set of integers + Z is a group under '+'
(v) The set of integers x Z is not a group under 'x'

Other Topics

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