Question 1 :
Tell whether the given statement is true or false. Explain your choice.
"All integers are rational numbers"
Question 2 :
Tell whether the given statement is true or false. Explain your choice.
"No rational numbers are whole numbers"
Question 3 :
Tell whether the given statement is true or false. Explain your choice.
"All rational numbers are integers"
Question 4 :
Tell whether the given statement is true or false. Explain your choice.
"All integers are whole numbers"
Question 5 :
Tell whether the given statement is true or false. Explain your choice.
"All whole numbers are rational numbers"
Question 6 :
Tell whether the given statement is true or false. Explain your choice.
"Some integers are irrational numbers"
1. Answer :
"All integers are rational numbers"
True
Every integer is included in the set of rational numbers. Integers are a subset of the set of rational numbers.
2. Answer :
"No rational numbers are whole numbers"
False
A whole number can be written as a fraction with a denominator of 1, so every whole number is included in the set of rational numbers. The whole numbers are a subset of the rational numbers.
3. Answer :
"All rational numbers are integers"
False
Every integer is a rational number, but not every rational number is an integer.
For example, rational numbers such as 3/5 and -5/2 are not integers.
4. Answer :
"All integers are whole numbers"
False
Every whole number is an integer, but it is not true that every integer is a whole number.
Integers such as -1 and -6 are not whole numbers.
5. Answer :
"All whole numbers are rational numbers"
True
Whole numbers are a subset of the set of rational numbers and can be written as a ratio of the whole number to 1.
6. Answer :
"Some integers are irrational numbers"
False
All integers are rational numbers.
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