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R = {(x, x^3) : x is a prime number less than 10} in roster form is:
A{(2, 6), (3, 9), (5, 15), (7, 21)}
B{(2, 8), (3, 27), (5, 125), (7, 343)}
C{(2, 4), (3, 9), (5, 25), (7, 49)}
D{(2, 8), (3, 27), (4, 64), (6, 216)}
Answer & Solution
Correct answer: B. {(2, 8), (3, 27), (5, 125), (7, 343)}
Primes less than 10 are 2, 3, 5, 7. Applying x ↦ x³ gives 8, 27, 125, 343 respectively. Option A is correct.
Related questions
Let A = {x, y, z} and B = {1, 2}. The number of relations from A to B is:Let A = {1, 2} and B = {3, 4}. The number of subsets of A × B is:Identify the function h(x) = x^(2/3) + 2x. Which of the following is INCORRECT?Let R be defined on ℕ by R = {(x, y) : y = 2x, x, y ∈ ℕ}. Identify the correct descriptionR = {(2, 2), (2, 4), (3, 3), (4, 4)} is NOT a function because:A relation R defined by R = {(2, 1), (3, 1), (4, 2)} is a function because:For Example 7 in the chapter: A = {1, 2, 3, 4, 5, 6} and R = {(x, y): y = x + 1}. The rangA relation R is defined on A = {1, 2, 3, 4, 6} by R = {(a, b): b is exactly divisible by a