Question

Which of the following is not a statement?
a). Please do me a favor.
b). 2 is an even integer.
c). $2+1=3$.
d). The number 17 is prime.

Answer 1

A sentence is called mathematical statement if it is either true or false but not both. According to the question verify all the given a,b,c &d; statements. And determine which of the following is not a statement. And this can be done by eliminating each option one by one.

Complete step-by-step solution:
From the problem, it given that to find the which of the given options are not a statement
Let us consider option(a),
a) Please do me a favor.
In the given option it is order but not a statement. So it is not a mathematical statement.
Now let us consider option(b),
b) 2 is an even integer.
In this option,2 is an even integer it is true because “2” comes in the even integer group.
So it is a mathematical statement.
And now let us consider option(c)
c) $2+1=3$
In this option, we have given an arithmetic expression which absolutely true.
Hence, it is a mathematical statement.
d) The number 17 is prime
In this option, we have given that “17” is a prime number.
17 is a number which is greater than “1” and is not the product of two smaller natural numbers which is called to be a prime number.
Therefore the given option is a true mathematical statement.
Therefore, from the all given options option(a) is not a statement
Hence the answer is an option(a)

Note: The must be noted that the statement is defined as one that has got the truth value. The statement will either have truthfulness or falsity. And the student must be read carefully the given each option have to determine that it is true or false, if not it is not a mathematical statement.