Answer:

Option (c) is true. Every integer is a rational number.

Step-by-step explanation:

Every integer is a rational number because integer numbers are those whole numbers which are positive and negative numbers and rational numbers are those numbers which are whole numbers, natural numbers, integer (positive/negative), odd and even... etc and can be expressed in p/q form where q is not equal to 0 or we can say those numbers which are not irrational numbers.

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Why other options are false:

(a) Every whole number is a natural number.

Whole numbers are those rational numbers are from 0 to infinity and natural numbers are those rational numbers are from 1 to infinity. Means 0 is whole number not a natural number. Hence, this statement is false.

(b) Every rational number is an integer.

As we know, Rational numbers are those which are positive, negative, whole numbers and can be written in p/q form where q is not equal to 0. But integers are those which are only positive or negative numbers and can't be expressed in p/q form. Thus, This statment is false.

(d) Every rational number is a whole number.

Whole numbers are positive numbers but rational numbers are both positive and negative numbers. Thus, This statment is false.

QUESTION :-

• Which statement is true
• (a) every whole number is a natural number.
• (b every rational number is an integer.
• (c) every integer is a rational number.
• (d) every rational number is a whole number.

ANSWER :-

(c) every integer is a rational number

• every integer is a rational number is the answer because set of rational number will also be including the integer

option C) is correct

a) every whole number is a natural

number

• it is false because all natural number can be a whole number otherwise every whole number is whole number no we cannot tell a natural number so it is false

b) every rational number is an integer .

• it is false because We clearly see that 1/2 is a rational number but not an integer, Hence, the statement is false.

d) every rational number is a

whole number

• False because a rational number is any number. which can be expressed as whereas a whole number is a positive number without decimal or fraction Every rational number is may or may not be a whole. Hence it is false.