Problem

Consider the set consisting of the first 10 positive whole numbers (that is, 1-10). Complete parts (a) through (c) below.
a. Determine explicitly the numbers in the set that are at least 5.

The numbers in the set that are at least 5 are $\square$.
(Type whole numbers. Use a comma to separate answers as needed. Use ascending order.)
b. Determine explicitly the numbers in the set that are at most 7.

The numbers in the set that are at most 7 are $\square$.
(Type whole numbers. Use a comma to separate answers as needed. Use ascending order.)
c. Determine explicitly the numbers in the set that are between 4 and 10 , inclusive.

The numbers in the set that are between 4 and 10 , inclusive, are $\square$.
(Type whole numbers. Use a comma to separate answers as needed. Use ascending order.)

Answer

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Answer

The final answers are: a. The numbers in the set that are at least 5 are \( \boxed{5, 6, 7, 8, 9, 10} \). b. The numbers in the set that are at most 7 are \( \boxed{1, 2, 3, 4, 5, 6, 7} \). c. The numbers in the set that are between 4 and 10, inclusive, are \( \boxed{4, 5, 6, 7, 8, 9, 10} \).

Steps

Step 1 :Consider the set consisting of the first 10 positive whole numbers, which are \( \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \).

Step 2 :To find the numbers in the set that are at least 5, we select all numbers greater than or equal to 5. The numbers are \( \{5, 6, 7, 8, 9, 10\} \).

Step 3 :To find the numbers in the set that are at most 7, we select all numbers less than or equal to 7. The numbers are \( \{1, 2, 3, 4, 5, 6, 7\} \).

Step 4 :To find the numbers in the set that are between 4 and 10, inclusive, we select all numbers from 4 to 10. The numbers are \( \{4, 5, 6, 7, 8, 9, 10\} \).

Step 5 :The final answers are: a. The numbers in the set that are at least 5 are \( \boxed{5, 6, 7, 8, 9, 10} \). b. The numbers in the set that are at most 7 are \( \boxed{1, 2, 3, 4, 5, 6, 7} \). c. The numbers in the set that are between 4 and 10, inclusive, are \( \boxed{4, 5, 6, 7, 8, 9, 10} \).

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