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.
Right.
√7 is real, but not an integer.
Thanks, Steve.
thats not the answer
To determine which statement is true, let's analyze each option and eliminate the ones that are false.
A statement is true if it is always true under all possible conditions.
Option A states that every real number is an integer. We know that this statement is false because not all real numbers are integers. For example, numbers like 1.5, √2, and π are real numbers but not integers.
Option B states that every rational number is a real number. This statement is true because all rational numbers can indeed be represented as a fraction of two integers and are, therefore, real numbers.
Option C states that every rational number is a perfect square. We know this statement is false since there are rational numbers that are not perfect squares. For example, 1/2 or 3/4 are rational numbers but not perfect squares.
Option D states that every integer is an irrational number. This statement is false because integers can always be expressed as whole numbers, positive or negative, and therefore they are rational numbers.
Based on our analysis, the correct answer is:
B. Every rational number is a real number.