Question

Find A∪B, A∩B, A–B and B–A for A = {x : x ∈N, x ≤ 10} and B={x : x ∈W, x < 6}

Answer 1

Hello,

Solution:

To Find A∪B, A∩B, A–B and B–A ,we have to first write the sets A and B in Roaster form for easily understanding the concept.

A = {x : x ∈N, x ≤ 10}

Since A is a set defined for natural numbers up to ten,So

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

B is a set of whole numbers less than 6

and B={x : x ∈W, x < 6}


B = {0,1,2,3,4,5}

1) A∪B = {1,2,3,4,5,6,7,8,9,10} ∪ {0,1,2,3,4,5}

= {0,1,2,3,4,5,6,7,8,9,10}

Set builder form A∪B= {x : x ∈W, x ≤ 10}

2) A∩B = {1,2,3,4,5,6,7,8,9,10} ∩ {0,1,2,3,4,5}

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

Set builder form A∩B= {x : x ∈N, x ≤ 5}

3) A-B: elements of A which are not in Set B

A-B :{6,7,8,9,10}

set builder form: A-B= {x : x ∈N, 6≤ x ≤ 10}


4) B-A: elements of B which are not in Set A

B-A : {0}

set builder form: B-A= {x : x ∈W, x= 0}

Hope the content helps you.

Answer 2

• In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
• An example of a polynomial of a single indeterminate x is x² − 4x + 7.