Question

Write the following sets using the listing (roster) method or using set builder notation. Complete parts (a) and (b) below. a. Write the set of letters in the word 'alligators' using the most concise method where A is the set of lowercase letters. (Use a comma to separate answers as needed.) A. The set of letters is {a,l,i,g,t,o,r,s}. B. The set of letters is {x∣x∈A and x= b. Write the set of natural numbers greater than 19 using the most concise method. (Use a comma to separate answers as needed.) A. The set of numbers is {x∣x∈N and x>, B. The set of numbers is {x∣x∈N and x<}. C. The set of number is {x∣x∈N and x=. D. The set of numbers is {⩾.

Answer 1

The set of letters in 'alligators' is {a,l,i,g,t,o,r,s}, and the set of natural numbers greater than 19 is expressed as x .

Step-by-step explanation:

To answer your question regarding sets:

• (a) When writing the set of letters in the word 'alligators' using the most concise method, we get the set A which is {a,l,i,g,t,o,r,s}. This is the listing method.
• (b) To write the set of natural numbers greater than 19 using the most concise method, the correct set builder notation is x ∈ N and x > 19. This notation indicates the set of all x such that x is a natural number (N) and x is greater than 19.