Question

Decide whether or not the following are statements. In the case of a statement, say if it is true or false, if possible. Every even integer is a real number.

Short answer

The sentence 'Every even integer is a real number' is a statement, and it is true.

Step-by-step solution

Understand the Concept of Number Types

Identify what the exercise is referring to: an 'even integer' and a 'real number'. An even integer is an integral value which is divisible by 2, e.g., ..., -4, -2, 0, 2, 4, ..., while real number is a value that is either rational (can be written as a simple fraction) or irrational (cannot be written as a simple fraction). Knowing that integers are a subtype of real numbers will help you judge whether the given sentence is true or false.

Categorize the Sentence

Analyze the sentence 'Every even integer is a real number'. Since every integer, not only even ones, falls into the classification of real numbers, this sentence is a true statement.