Fsc Part 1 Mathematics (Complete Solution)
For each of the following sets, determine whether or not the set forms a group with respect to the indicated 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|
The set of rational number denoted by Q and the set of integers is denotad by Z.
|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'|