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## Sets and Relations ### Exercise 1.1 **Choose the following as roster form** 1. The set of integers from -3 to 5. 2. The set of all natural numbers which are multiples of 5 but less than 30. 3. The set of all prime numbers between 10 and 40. **Choose the following sets in set builder form** 1...

## Sets and Relations ### Exercise 1.1 **Choose the following as roster form** 1. The set of integers from -3 to 5. 2. The set of all natural numbers which are multiples of 5 but less than 30. 3. The set of all prime numbers between 10 and 40. **Choose the following sets in set builder form** 1. {2, 4, 6, 8, 10, 12}. 2. {5, 6, 7, 8, 9, 10}. 3. {1, 4, 9, 16, 25} **Which of the sets in the above exercises is finite, infinite and void set** **A, B, C and D are the letters in the word, “college”. Write out the set which represents** 1. A 2. B 3. C 4. D **If A and B are sets of the interval 5 and x and x < 8 , x ∈ R and x > 1, x ∈ R, then** 1. A ∪ B 2. A ∩ B 3. A - B **Out of 20 students, 10 students failed in MATH, 12 students failed in CS and 7 students failed in both the subjects. Find how many students:** 1. Failed in MATH and CS but not in both. 2. Failed in either MATH or CS 3. Failed in CS but not in MATH 4. Failed in MATH or CS but not in both. 5. did not fail in any subject.