B. Write each of the following sets using the roster method.
_____ 1. The set of natural numbers less than 5.
_____ 2. The set of whole numbers less than 7.
_____ 3. The set of integers greater than 10 but less than 18
_____ 4. The set of whole numbers between 9 and 14.
_____ 5. The set of integers from -3 to 3.
_____ 6. The set of counting numbers between 14 and 21.
_____ 7. The set of integers between -9 and -5.
_____ 8. The set of counting numbers greater 8 but less than 12.
_____ 9. The set of negative integers greater than -6.
_____ 10. The set of positive integers less than 4.
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Answers & Comments
Answer:
1. {1,2,3,4}
2. {1,2,3,4,5,6,}
3. {11,12,13,14,15,16,17}
4. {10,11,12,13}
5. {-3,-2,-1,0,1,2,3}
6. {15,16,17,18,19,20}
7. {-8,-7,-6}
8. {9,10,11}
9. {-5,-4,-3,-2,-1}
10. {3,2,1}
Answer:
1. Two ways to write the set of natural numbers less than 5 are {1, 2, 3, 4} and {n | n<5, n ∈ natural numbers}.
2. The set of whole numbers less than 7 is {1, 2, 3, 4, 5, 6}
3. 11, 12, 13, 14, 15, 16, 17.
4. 10, 11, 12, 13
5. -3, -2, -1, 0, 1, 2, 3
6. 14, 15, 16, 17, 18, 19, 20, 21
7. -8, -7, -6,
8. 9, 10, 11
9. -5, -4, -3, -2, -1
10. 1, 2, 3