
Whether the statement “The absolute value of any real number is positive” is true or false.

Answer to Problem 1RE
The given statement is false.
Explanation of Solution
The given statement is “The absolute value of any real number is positive”.
The distance between the origin and the number is called the absolute value of that number.
An absolute value of a positive number is the number itself and the absolute value of negative number is the corresponding positive number.
That is, the absolute value of no number will be negative, which represents the concept of absolute value.
But, it is not possible to say that absolute value of any real number is always positive.
The one and only one exceptional case is 0. That is, the absolute value of 0 is 0, which is neither positive nor negative.
Thus, the given statement is false.
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Chapter 1 Solutions
Basic Technical Mathematics
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