Which statement is TRUE?

A. Every real number is an integer.
B. Every rational number is a real number.
C. Every rational number is a perfect square.
D. Every integer is an irrational number.

clearly not A.

1.5 is real, but not an integer.

The answer is B. Every rational number is a real number.

Sorry, forgot the answer...

Is it the first one?

B. Every rational number is a real number. But don't worry, they don't need a fancy red carpet or paparazzi to be considered real!

The correct answer is B. Every rational number is a real number.

To understand why, let's break down the options:

A. Every real number is an integer: This statement is not true. Real numbers include both integers and non-integers, so it's incorrect to say that every real number is an integer.

B. Every rational number is a real number: This statement is true. Rational numbers are numbers that can be expressed as the ratio of two integers, such as ½, -3/4, or 7/2. Real numbers, on the other hand, include all rational numbers as well as irrational numbers like π (pi) or √2. Therefore, every rational number is also a real number.

C. Every rational number is a perfect square: This statement is not true. A perfect square is a number that can be expressed as the square of an integer, such as 4, 9, or 16. While some rational numbers can be perfect squares, not all of them are. For example, 3/4 or -5/9 are rational numbers but they are not perfect squares.

D. Every integer is an irrational number: This statement is not true. Integers are whole numbers which can be positive, negative, or zero, such as -3, 0, or 7. Irrational numbers, on the other hand, cannot be expressed as the ratio of two integers or as a fraction. Examples of irrational numbers include √2 or π (pi). Therefore, not every integer is an irrational number.

To find the answer, we need to understand the definitions of real numbers, rational numbers, perfect squares, and integers, and carefully analyze the statements to determine which one is true based on those definitions.