Question

let A=(x:x is a natural number and a factor of 18),B=(x:x is a natural number and less than 6),find (i)AuB and (ii)AuB​

Answer 1

Given :-

• A=(x:x is a natural number and a factor of 18),B=(x:x is a natural number and less than 6)

To find :-

• A U B
• A ∩ B

Solution :-

• Union of sets

→ The union of A and B is the set of all those element which belongs either to A or to B or to both A and B

→ It is denoted by A U B (read as A union B)

• Intersection of sets

→ The intersection of A and B is a set of all those element that belongs to both A and B

→ It is denoted by A ∩ B (read as A intersection B)

• A = {x:x is a natural number and a factor of 18}

• B = {x:x is a natural number and less than 6}

Factors of 18 → 1, 2, 3, 6, 9, 18

→ A = {1, 2, 3, 6, 9, 18}

Natural number that is less than 6 → 1, 2, 3, 4, 5

→ B = {1, 2, 3, 4, 5}

Now,

• A U B

→ {1, 2, 3, 4, 5, 6, 9, 18}

• A ∩ B

→ {1, 2, 3}

Hence,

• A U B = {1, 2, 3, 4, 5, 6, 9, 18}

• A ∩ B = {1, 2, 3}

Answer 2

Answer:

so the answer was correct