Question

E= x ∈ ℕ and 27 ≤ x < 59

a) ( E = {27, 28, 29, ..., 58} )

b) ( E = {27, 28, 29, ..., 59} )

c) ( E = {1, 2, 3, ..., 27} )

d) ( E = {27, 28, 29, ..., infty} )

Answer 1

Set E contains natural numbers from 27 up to but not including 59, making the correct answer E = {27, 28, 29, ..., 58}.

Step-by-step explanation:

The set E is defined as the set of natural numbers x such that 27 ≤ x < 59. This means we include all natural numbers starting from 27 up to, but not including, 59. Therefore, the correct answer is: E = {27, 28, 29, ..., 58}.

Option (a) E = {27, 28, 29, ..., 58} is the correct representation of the set based on the given conditions. Option (b) includes 59, which should not be included since the set is defined with an exclusive upper bound. Option (c) includes numbers lower than 27, which are not within the specified range, and option (d) suggests that the set continues indefinitely which is incorrect.