Question: What proof method does the fllowing proof use? Theorem: If for two integers x and y,2x+y=15 then y=4. Proof: Assume x and y are two

What proof method does the fllowing proof use? Theorem: If for two integers x and y,2x+y=15 then y=4. Proof: Assume x and y are two arbitrary integers. Now assume that y=4. Then because x is an integer we have: x2x2x2x2x+y=5.5=11=154=15y=15 Thus if 2x+y=15 then y=4. proof by contraposition proof by contradiction proof by counterexample direct proof

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

HW 12, MAT 312/AMS 351: SPRING 2017 Problem 1. (1) Set H = {4a + 6b | a, b Z} Z. Show that H is a subgroup of Z. (2) Is H cyclic? Problem 2. Write down all the cyclic subgroups of the following...

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

1. Introduction to Computer Architecture concepts; The MIPS R2000 architecture allows for up to four external coprocessors. Our local systems arIPS external coprocessors are used by describing, in...

Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document...

UNDERSTAND PRACTICE 10. Error Analysis Kendall was asked to find 16. Trace ABCD and point P. the scale factor for the dilation. What is Draw the dilation of Kendall's error? ABCD using P as the...

You have been provided with the description of a programming language, J, intended for scripting applications. Its syntax is similar to a cut-down version of Java in that it consists of function...

A network based service manages persistent objects. The service must enforce an access control policy to protect the objects. (a) Discuss how this access control might best be implemented for the...

chapter 5 INTRODUCTION TO MATRIX ALGEBRA GOALS The purpose of this chapter is to introduce you to matrix algebra, which has many applications. You are already familiar with several algebras:...

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

A vertical circular shaft will pass through a water-bearing stratum at a depth of 2,780 ft where the water pressure is estimated to be 210 psi. Finished shaft diameter must be 18 ft. The pre-shaft...

Read the first half of article by Mahmoud et al. (2016) to page 632 and answer the following questions: a. Look at the conceptual framework, Figure 1, what are the independent variables? (3 marks) b....

1. Read Extract 1 again. As you read, make notes on: of nature the writer gives in the first a. The impression three paragraphs b. Which characters seem 'good' and which 'bad'.

P-1) (100 Pts.) A chemical manufacturing company (CMC) has a contract for the procurement of the neccssaly chemicals from four suppliers. The chemicals purchased from Supplier A are priced at $20...

7. Define cultural space.

5. Define and give an example of cross-cultural differences in facial expressions, proxemics, gestures, eye contact, paralanguage, chronemics, and silence.

8. Describe how cultural spaces are formed.