The set of a number is the list of possible values the number can take. The set of -4 are:
- B. real numbers
- D. rational numbers
- F. integers
The number is given as -4
Analyze each option as follows
A. Natural numbers are whole numbers greater than 0.
-4 is less than 0; this means -4 is not a natural number
B. Real numbers is the totality of all numbers.
This means that -4 is a real number
C. Whole numbers are non-negative numbers without decimal point.
-4 is negative; this means -4 is not a whole number
D. Rational numbers are numbers that can be expressed as a fraction
-4 can be expressed as a fraction. e.g. [tex]-\frac{8}{2} = -4[/tex]
This means that -4 is a rational number
E. If a number is rational, then the number cannot be irrational. This means that -4 is not irrational.
F. Integers are numbers without decimal point.
-4 has no decimal point. This means that -4 is an integer.
Hence, the following options are true.
B. real numbers D. rational numbers and F. integers
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