if P = { x | x is natural number between 10 and 16 } and Q = { y | y is an even number between 8 and 20 }, find Q - P.
Answers
Step-by-step explanation:
According to the given statements:
P = {11, 12, 13, 14, 15}
Q = {10, 12, 14, 16, 18}
R = {7, 9, 11, 14, 18, 20}
(i) P – Q = {Those elements of set P which are not in set Q}
= {11, 13, 15}
(ii) Q – R = {Those elements of set Q not belonging to set R}
= {10, 12, 16}
(iii) R – P = {Those elements of set R which are not in set P}
= {7, 9, 18, 20}
(iv) Q – P = {Those elements of set Q not belonging to set P}
= {10, 16, 18}
Given:
P = { x | x is natural number between 10 and 16 }
P = { 11 , 12 , 13 , 14 , 15 }
Q = { y | y is an even number between 8 and 20 }
Q = { 10 , 12 , 14 , 16 , 18 }
To find :
Q - P
Solution:
Q - P means the elements of Q which are not the elements of P.
Q - P = { 10 , 12 , 14 , 16 , 18 } - { 11 , 12 , 13 , 14 , 15 }
Q - P = { 10 , 16 , 18 }
Final answer:
Q - P = { 10 , 16 , 18 } .