Give reasons for the following statements:(i) {2, 3, 5, 7, 9, 11)#{r:x

1.	Give reasons for the following statements:(i) {2, 3, 5, 7, 9, 11)#{r:x is a prime number, x< 12)(ii) {1, 64, 125)#1 x : x is a perfect square and perfect cube, x<125)
Answer» i) prime numbers less than 12 = 2,3,5,7,11 The set has 9 which is a non - prime number. Hence it is true ii) Perfect square and perfect cube less than 125 = 1,64 The set has 125 which is not a perfect cube. Hence it is true

Give reasons for the following statements:(i) {2, 3, 5, 7, 9, 11)#{r:x is a prime number, x< 12)(ii) {1, 64, 125)#1 x : x is a perfect square and perfect cube, x<125)

Answer»

i) prime numbers less than 12

= 2,3,5,7,11

The set has 9 which is a non - prime number.

Hence it is true

ii) Perfect square and perfect cube less than 125

= 1,64

The set has 125 which is not a perfect cube.

Hence it is true