Question

If A = {x : x is a multiple of 3 } and , b = { x : x is a multiple of 5} then A-B is

Answer 1

Answer:

c= { x:x

Step-by-step explanation:

is not a multiple of 15}

Answer 2

GIVEN :

A = {x : x is a multiple of 3 }

B = { x : x is a multiple of 5}

multiples of 3 = 3, 6, 9, 12, 15,......

A = { 3, 6, 9, 12, 15,...... }

B = multiples of 5 = 5,10,15, 20,......

B = { 5,10, 15, 20,......}

A - B = { 3, 6, 9, 12, 15, 18, ....} - { 5,10, 15, 20,......}

A - B = { 3, 6, 9, 12, 18,.....}

Points to remember :

• When it is given to subtract A - B then we should cancel the common elements in both sets and the remaining elements are kept as (A - B)

• When it is given to subtract B - A then we should cancel the common elements in both sets and the remaining elements are kept as (B - A)

Example :

A = { 0,1, 2, 3, 4,...}

B = { 1, 2, 3, 4,.....

A - B = { 0,1, 2, 3, 4,...} - { 1, 2, 3, 4,.....}

A - B = { 0 }

As, zero is the only element remained after removing the common elements.