MATH SOLVE

3 months ago

Q:
# Which of the following gives all of the sets that contain -1/2? the set of all rational numbers and the set of all real numbers the set of all natural numbers and the set of all irrational numbers the set of all integers and the set of rational numbers the set of all natural numbers, the set of rational numbers, and the set of all real numbers

Accepted Solution

A:

ANSWER

The set of all rational numbers and the set of all real numbers.

EXPLANATION

The set of rational numbers contains all numbers that can be written in the form,

[tex] \frac{a}{b} [/tex]

where a and b are integers and bβ 0.

The given number is

[tex] - \frac{1}{2} [/tex]

It belongs to the set of rational numbers.

The set of rational numbers is a subset of the set of real numbers.

Hence

[tex] - \frac{1}{2} [/tex]

also belongs to the set of real numbers.

The correct answer is A.

The set of all rational numbers and the set of all real numbers.

EXPLANATION

The set of rational numbers contains all numbers that can be written in the form,

[tex] \frac{a}{b} [/tex]

where a and b are integers and bβ 0.

The given number is

[tex] - \frac{1}{2} [/tex]

It belongs to the set of rational numbers.

The set of rational numbers is a subset of the set of real numbers.

Hence

[tex] - \frac{1}{2} [/tex]

also belongs to the set of real numbers.

The correct answer is A.