Solution Found!
Fill in the blanks in the following proof by contradiction
Chapter 4, Problem 1E(choose chapter or problem)
Fill in the blanks in the following proof by contradiction that there is no least positive real number.
Proof: Suppose not. That is, suppose that there is a least positive real number x. [We must deduce ] Consider the number x/2. Since x is a positive real number, x/2 is also . In addition, we can deduce that x/2 < x by multiplying both sides of the inequality 1 < 2 by and dividing . Hence x/2 is a positive real number that is less than the least positive real number. This is a [Thus the supposition is false, and so there is no least positive real number.]
Questions & Answers
QUESTION:
Fill in the blanks in the following proof by contradiction that there is no least positive real number.
Proof: Suppose not. That is, suppose that there is a least positive real number x. [We must deduce ] Consider the number x/2. Since x is a positive real number, x/2 is also . In addition, we can deduce that x/2 < x by multiplying both sides of the inequality 1 < 2 by and dividing . Hence x/2 is a positive real number that is less than the least positive real number. This is a [Thus the supposition is false, and so there is no least positive real number.]
ANSWER:Solution:-Step1Given thatWe have to fill in the blanks in the following proof by contradiction that there is no least positive real number.Proof: “Assume not. That is, assume that there is a least positive real number x. [We must deduce (a)