Which of the following are examples of the null set (i) Set of odd natural numbers divisible by 2 (ii) Set of even prime numbers (iii) {x:x is a natural numbers, x < 5 and x > 7 } (iv) {y:y is a point common to any two parallel lines}

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(i) A set of odd natural numbers divisible by 2 is a null set because no odd number is divisible by 2. (ii) A set of even prime numbers is not a null set because 2 is an even prime number. (iii) {x: x is a natural number, x x > 7} is a null set because a number cannot be simultaneously less than 5...
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(i) A set of odd natural numbers divisible by 2 is a null set because no odd number is divisible by 2. (ii) A set of even prime numbers is not a null set because 2 is an even prime number. (iii) {x: x is a natural number, x x > 7} is a null set because a number cannot be simultaneously less than 5 and greater than 7. (iv) {y: y is a point common to any two parallel lines} is a null set because parallel lines do not intersect. Hence, they have no common point. read less
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