5. Write the following sets in roster form and also in description form:
(i) {x|x = 4n, ne Wand n <5} (ii) {X: X = n2, n e N and n < 8}
(iii) {y: y = 2x - 1, x € W and x <5} (iv) {x:x is a letter in word ULTIMATUM}.
WITH PROPER STEPS FOR EACH.
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Answer:
(i) A={x:x is an integer and−3<x<7}
The elements of this set are −2,−1,0,1,2,3,4,5, and 6 only.
Therefore, the given set can be written in roster form as
A={−2,−1,0,1,2,3,4,5,6}
(ii) B={x:x is a natural number less than 6}
The natural numbers less than 6 are 1,2,3,4,5
So, the elements of this set are 1,2,3,4, and 5 only.
Therefore, the given set can be written in roster from as
B={1,2,3,4,5}
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