Question

Given that
A = {x : x is a even natural number less than or equal to 10} and B = {x : x is an odd natural number less than or equal to 10} Find (i) AB (ii) BA (iii) is AB=BA ?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The correct answers to this question are:

(i) A ∪ B = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

(ii) B ∪ A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

(iii) A ∪ B = B ∪ A is true

Step-by-step explanation:

Given,

A = {x : x is a even natural number less than or equal to 10}

B = {x : x is an odd natural number less than or equal to 10}

∴ A = { 2, 4, 6, 8, 10 }

  B = { 1, 3, 5, 7, 9 }

now question (i)

A ∪ B = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

question (ii)

B ∪ A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

question (iii)

this can be verified using questions (i) and (ii)

A ∪ B = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

B ∪ A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

Hence, A ∪ B = B ∪ A  is verified

Click here for more about Union of a set:

https://brainly.in/question/7566103

Click here for more about Sets:

https://brainly.in/question/3282530