Final answer:
The set that is equal to 3, 5, 7, 9, 11, 13 is {x∈Z:x is odd and 3≤x≤14}
This correct answer is option a)
Step-by-step explanation:
The set that is equal to 3, 5, 7, 9, 11, 13 is
a) {x∈Z : x is odd and 3≤x≤14}
Let's break down the options:
a) {x∈Z : x is odd and 3≤x≤14} means the set of all odd numbers from 3 to 14, which includes all the given numbers.
b) {x∈Z : x is prime and 3≤x<14} means the set of all prime numbers between 3 and 14, which does not include all the given numbers.
c) {x∈R : 3≤x<14} means the set of all real numbers between 3 and 14, which is not a set of integers.
d) {x∈Z : x is prime and 3≤x<14} means the set of all prime numbers between 3 and 14, which does not include all the given numbers.
Therefore, the correct answer is option a) {x∈Z : x is odd and 3≤x≤14}.
This correct answer is option a)