Work Step by Step
The set of real numbers consists of all rational and irrational numbers. The set of integers consists of both 0 and all negative/positive numbers that can be expressed without using a decimal (such as -2, 0, and 600). Therefore, we know that this statement is false, because not all real numbers are integers. For example, 1.25 is a real number, but we can only represent this number by using a decimal or a fraction of a number. Therefore, 1.25 cannot be an integer.