Is the set A = {-2, -4, -6, -8,…………..} closed,
under multiplication? Given at least three example in each case.

Is the set A = {-2, -4, -6, -8,…………..} closed, under addition

Is the set A = {-2, -4, -6, -8,…………..} closed, under subtraction

Is the set of integers closed under the operation of Multiplication? Give examples

Is the set of integers closed under the operation of substraction? Give examples

Is the set of integers closed under the operation of Division? Give examples

Carry out the multiplication of the expressions in each of the following pair. a^2-9,4a

Let R be the relation defined in the set A={1,2,3,4,5,6,7,8,9} by R={(a,b,):" both a and b are either odd or even"} . Show that R is an equivalence relation. Further show that all the lements of the subset {1,3,5,7,9} are related to one another and all the lement of the subset {2,4,6,8} are related to one another but no element of the subset {1,3,5,7,9} is related to any element of the subset {2,4,6,8} .

Solve the following equations and verify in each case: -8 + x = -2

Solve the following equations and verify in each case: 4K = frac(3)(8)