For any whole numbers a, b, c is it true that `(a+b)+c=a+(c+b)`? Give reasons.

ASSOCIATIVITY If abc are any three whole numbers then (a+b)+c=a+(b+c) In other words the addition of whole numbers is associative.

A,B and C are three set such that A in B and B sub C , then is it true that A sub C ? If not, give an example.

Property 4 The subtraction of whole numbers is not associative.That is if abc are three whole numbers then in general a-(b-c) is not equal to (a-b)-c

For any three unequal numbers a,b and c (a-b)/(b-c) equals to

For any three unequal numbers a,b and c (a-b)/(b-c) equals to

Let A, B and C be three sets. If A in B and B sub C , is it true that A sub C ? If not, give an example.

Two dice are thrown. The events A , B and C are as follows. A : getting an even number on the first die B : getting an odd number on the first die. C : getting the sum of the number on the dice le 5 state true or false ( give reason for yours answer). A', B' , C are mutually exclusive and exhaustive.

Property 5 If ab and c are whole numbers such that a-b=c then b+c=a .

ASSOCIATIVITY If abc are any whole numbers then (a xx b)xx c=a xx(b xx c)

Write the converses of the following statements. Also, devide in each case whether the converse is true or false. : If a and b are whole numbers, that a + (b + c) = (a + b) + c .