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Write the following set in roster form:
A = {x : x is an integer and –3 ≤ x < 7}
Concept: undefined > undefined
Write the following set in roster form:
B = {x : x is a natural number less than 6}
Concept: undefined > undefined
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Write the following set in roster form:
C = {x : x is a two-digit natural number such that the sum of its digits is 8}
Concept: undefined > undefined
Write the following set in roster form:
D = {x : x is a prime number which is divisor of 60}
Concept: undefined > undefined
Write the following set in roster form:
E = The set of all letters in the word TRIGONOMETRY
Concept: undefined > undefined
Write the following set in roster form:
F = The set of all letters in the word BETTER
Concept: undefined > undefined
Write the following set in the set-builder form:
{3, 6, 9, 12}
Concept: undefined > undefined
Write the following set in the set-builder form:
{2, 4, 8, 16, 32}
Concept: undefined > undefined
Write the following set in the set-builder form:
{5, 25, 125, 625}
Concept: undefined > undefined
Write the following set in the set-builder form:
{2, 4, 6, …}
Concept: undefined > undefined
Write the following set in the set-builder form:
{1, 4, 9, ....., 100}
Concept: undefined > undefined
List all the elements of the following set:
A = {x : x is an odd natural number}
Concept: undefined > undefined
List all the elements of the following set:
B = `{x : x "is an integer", -1/2 < x < 9/2}`
Concept: undefined > undefined
List all the elements of the following set:
C = {x : x is an integer, x2 ≤ 4}
Concept: undefined > undefined
List all the elements of the following set:
D = {x : x is a letter in the word “LOYAL”}
Concept: undefined > undefined
List all the elements of the following set:
E = {x : x is a month of a year not having 31 days}
Concept: undefined > undefined
List all the elements of the following set:
F = {x : x is a consonant in the English alphabet which precedes k}.
Concept: undefined > undefined
Match each of the set on the left in the roster form with the same set on the right described in set-builder form:
(i) | {1, 2, 3, 6} | (a) | {x : x is a prime number and a divisor of 6} |
(ii) | {2, 3} | (b) | {x : x is an odd natural number less than 10} |
(iii) | {M, A, T, H, E, I, C, S} | (c) | {x : x is natural number and divisor of 6} |
(iv) | {1, 3, 5, 7, 9} | (d) | {x : x is a letter of the word MATHEMATICS} |
Concept: undefined > undefined
If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A × B).
Concept: undefined > undefined
If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G.
Concept: undefined > undefined