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Which of the following gives all of the sets that contain squrt 9

the set of all irrational numbers
the set of all natural numbers, the set of all whole numbers, and the set of all integers
the set of all integers, the set of all rational numbers, and the set of all real numbers
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

2 Answers

4 votes

Answer:

the set of all integers, the set of all rational numbers, and the set of all real numbers

Explanation:

no explanation needed

User Brandon White
by
6.6k points
1 vote

Answer:

Option C (the set of all integers, the set of all rational numbers, and the set of all real numbers).

Explanation:

The value of square root of 9 is ±3. This means that there two answers to square root of 9: 3 and -3.

As far as 3 is concerned, it is one of the elements of the natural number set. It is already known that natural numbers are also whole numbers, also integers, also rational numbers, and also real numbers.

As far as -3 is concerned, it is not a natural number since the set of natural numbers does not contain negative numbers. -3 is an integer. Which means that -3 is also a rational number and also a real number.

After identifying the common sets and taking the intersection of both the above classifications, it yields the set of all integers, the set of all rational numbers, and the set of all real numbers, Therefore, Option C is the correct answer!!!

User Lex Lavnikov
by
8.4k points