Answer:
a. Set-builder form: {y | y is a natural number and 12 ≤ y ≤ 15}
Or
{y | y is a natural number and 11 < y < 16}
b. Rooster form: {3, 4, 5 ,6, ...}
Step-by-step explanation:
a. Rooster form: {12, 13, 14, 15}
All four numbers are natural numbers, therefore we would write this set of numbers in set builder form such that they will all have the same property. Thus:
Set-builder form: {y | y is a natural number and 12 ≤ y ≤ 15}
Or as
{y | y is a natural number and 11 < y < 16}
b. Set-builder form: {y | y is a natural number and y > 2}
Since natural numbers are positive integers, this tells us that all values of the set are not less than or equal to 2. Therefore, they are integers that range from 3 and above.
Thus:
Rooster form: {3, 4, 5 ,6, ...}