Question

If A= {10, 20, 40, 60, 80}, list the elements of the following subsets of A.      (a) {numbers divisible by 4}   (b){ numbers divisible by 6}​

Answer 1

Answer:

a={20,40,60,80}

b={60}

Answer 2

Answer:

(a) Required subset of divisible by 4 is {20,40,60,80}

(b) Required subset of divisible by 6 is {60}

Step-by-step explanation:

Here given set A= {10, 20, 40, 60, 80}.

We want to find Subset of numbers divisible by 4 and divisible by 6 of A.

Before solving this question,we should know some information.

A collection of numbers is called set and subset is part of set.

For example, P = {a,b,c,d} is a set and {a},{b},{c},{d},{a,b},{a,c} etc are subset of P.

Here set A = {10, 20, 40, 60, 80}

Numbers divisible by 4 are 20,40,60 and 80 in A.

So required subset divisible by 4 is {20,40,60,80}

and number divisible by 6 is 60.

So, required subset divisible by 6 is {60}.

Some important formulas of set,

1) (A∪B)'=(A' ∩ B')

2)(A ∩B)'=(A'∪B')

Know more about set:

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