Question 1: Describe the following sets in Roster form:
(i) is a letter before
in the English alphabet
(ii)
(iii) is a prime number,
(vi)
(v)
(vi) is a prime number which is a divisor of
(vii) is a two digit number such that the sum of its digits is
(viii) The set of all letters in the word
(ix) The set of all letters in the word ‘Better’
Answer:
(i)
(ii)
(iii)
(vi)
(v)
(vi)
(vii)
(viii)
(ix)
Question 2: Describe the following sets in set-builder form:
(i)
(ii)
(iii)
(vi)
(v)
(vi)
(vii)
(viii)
Answer:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
Question 3: List all the elements of the following sets:
(i)
(ii)
(iii)
(vi)
(v)
(vi)
Answer:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Question 4: Convert each of the sets on the left in the roster form with to the set-builder form:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Answer:
(i) is a letter of a word
(ii)
(iii)
(iv) is a natural number and divisor of
(v) is a letter of the word
(vi) is a prime natural number and a divisor of 10
Question 5: Write the set of all vowels in the English alphabet which precede .
Answer:
Question 6: Write the set of all positive integers whose cube is odd.
Answer:
Question 7: Write the set
Answer: