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Did I prove p is not equal to 0 correctly? p is not equal to 0 by what?

Did I prove p is not equal to 0 correctly? p is not equal to 0 by what?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Did I prove p is not equal to 0 correctly? p is not equal to 0 by what?
24. The reciprocal any irrational number is irrational. (The reciprocal of any non zero real num ber X is - ) メ a) contradiction: Suppose not. There is exists an irrationdl number x who recipocal is vationel Then t integers P,q I for some with eeela 2 +o by definiton of rational. lay substitution. hypothesis (* is a reciprocal of non -zeo any real number by algebra . bex X= x) Now, q and € Z because it was proven to be non X is rational which that x is irratianal Therefore the as summption zero. contradict was wrong and a is irratienal. contraposite Suppose 4 is ratunal for seme itron: nen - real number X then * for some integers Pand a ratanal. with a to by definition of by substitution a hypothesis (z is a reciprocal of amy non zero real number x- by algebra Integers. P+o be cause it was prover nin-zero There foré xis ratunal ku definition of ratunal Now, P, a to be are
Transcribed Image Text:24. The reciprocal any irrational number is irrational. (The reciprocal of any non zero real num ber X is - ) メ a) contradiction: Suppose not. There is exists an irrationdl number x who recipocal is vationel Then t integers P,q I for some with eeela 2 +o by definiton of rational. lay substitution. hypothesis (* is a reciprocal of non -zeo any real number by algebra . bex X= x) Now, q and € Z because it was proven to be non X is rational which that x is irratianal Therefore the as summption zero. contradict was wrong and a is irratienal. contraposite Suppose 4 is ratunal for seme itron: nen - real number X then * for some integers Pand a ratanal. with a to by definition of by substitution a hypothesis (z is a reciprocal of amy non zero real number x- by algebra Integers. P+o be cause it was prover nin-zero There foré xis ratunal ku definition of ratunal Now, P, a to be are
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