Math, asked by mistrymanisha16, 2 months ago

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

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

Find: A ∪ B and A ∩ B​

Answers

Answered by ellapefinanyahoocom
1

Answer:

{1,2,3}

A={1,2,3,6,9,18}

B={1,2,3,4,5}

therefore,A∩B {1,2,3}

Answered by vinod04jangid
0

Answer:

A ∪ B = {1, 2, 3} and A ∩ B = {1, 2, 3, 4, 5, 6, 9, 18}

Step-by-step explanation:

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

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

To Find :- A ∩ B​ and A ∪ B

Solution :-

Natural number is a number that includes all the whole numbers except 0.

Prime Factorization of 18

= 2 × 3 × 3

∴ The factors of 18 are 1, 2, 3, 6, 9, 18.

∴ A = {1, 2, 3, 6, 9, 18}

Natural numbers less than 6 are:

1, 2, 3, 4, 5

∴ B = {1, 2, 4, 3, 5}

Now, A ∪ B = {1, 2, 3, 6, 9, 18} ∪  {1, 2, 3, 4, 5}

                   = {1, 2, 3}

A ∩ B = {1, 2, 3, 6, 9, 18} ∩ {1, 2, 3, 4, 5}

          = {1, 2, 3, 5, 4, 6, 9, 18}

Therefore, A ∪ B = {1, 2, 3} and A ∩ B = {1, 2, 3, 4, 5, 6, 9, 18}

#SPJ2

https://brainly.in/textbook-solutions/q-sets-b-prove-b-b-5

https://brainly.in/question/44913326

Similar questions