Consider the following statement. There is no greatest negative real number. Identify which of the following is a negation for the statement and then fill in the blanks to prove the statement by contradiction. O There no greatest negative real number. O There is no greatest positive real number. O There is a greatest negative real number. O There is a greatest positive real number. O There is a least negative real number. Proof by contradiction: Suppose not. That is, suppose ---Select--- a < Find a new real number, expressed in terms of a, that is both negative and greater than a. Use this expression to fill in the blank in the following inequality. <0 Then, by assumption, a < This result contradicts the assumption that a is ---Select--- and, for every negative real number x, a 2 Therefore the supposition is false and the given statement is true.