Which of the following gives all of the sets that containStartRoot 9 EndRoot?
a. the set of all irrational numbers
b. the set of all natural numbers, the set of all whole numbers, and the set of all integers
c. the set of all integers, the set of all rational numbers, and the set of all real numbers
d. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers

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Answer:

The answer is C

Step-by-step explanation:

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The solution sets are the set of all integers, the set of all rational numbers, and the set of all real numbers. Option C is correct.

Given the surd function [tex]\sqrt{9}[/tex]

The solution to the square root of 9 is given as:

  • [tex]\pm \sqrt{9} = \pm 3[/tex]

From the given solution, the required set will be S = {-3, 3}

  • Since the elements of the sets can be written as a ratio of two integers, hence they are rational numbers.

  • Also, the values are also a set of real numbers and integers.

Therefore, we can conclude that the solution sets are  the set of all integers, the set of all rational numbers, and the set of all real numbers

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