Question

Given three sets P, Q and R such that: P = {x : x is a natural number between 10 and 16}, Q = {y : y is a even number between 8 and 20} and R = {7, 9, 11, 14, 18, 20} (i) Find the difference of two sets P and Q; (ii) Find Q – R; (iii) Find R – P; (iv) Find Q – P

8423d4fedd6b7a75bf8fa17a5c9c29b6.pdf

Answer 1

Answer:

Hope this is helpful

Answer 2

P - Q = { 11, 13, 15 } ,

Q - R = { 10, 12, 16 } ,

R - P = { 7, 9, 18, 20} ,

Q - P = { 10, 16, 18 }

Given :

P = {x : x is a natural number between 10 and 16},

Q = {y : y is a even number between 8 and 20} and

R = {7, 9, 11, 14, 18, 20}

To find :

i) the difference of two sets P and Q;

(ii) Q – R;

(iii) R – P;

(iv) Q – P

Solution :

First, we need to declare all the elements of the sets P, Q and R

P = { 11, 12, 13, 14, 15}

Q = { 10, 12, 14, 16, 18 }

R = { 7, 9, 11, 14, 18, 20}

Difference of sets (A-B) means all the elements of A which are not present in B.

Hence,

i) difference of two sets P and Q (P - Q)

= { 11, 13, 15 }

ii) Q - R

= { 10, 12, 16 }

iii) R - P

= { 7, 9, 18, 20}

iv) Q - P

= { 10, 16, 18 }

HENCE,

P - Q = { 11, 13, 15 } ,

Q - R = { 10, 12, 16 } ,

R - P = { 7, 9, 18, 20},

Q - P = { 10, 16, 18 }

#SPJ3