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) Derive that truth table for p^q→p is a tautology MTH 211

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COURSE CODE:                     MTH 211

          COURSE TITLE:                      LOGIC AND LINEAR ALGEBRA

           CLASS:                                    ND2 CIVIL , MECHANICAL, ELECTRICAL AAND MECHANICAL          

                                                             ENGINEERING                        

  •        THE TRUTH TABLE FOR S

Mariam is an intelligent girl =P

 And Mariam is able to provide solution to complicated problem =Q

S = Pv Q]

PQP^QPvQPv Q]
TTFFTTT
TFFTFTT
FTTFFTF
FFTTFFT
  1.   (a) Derive that truth table for p^q→p is a tautology

SOLUTION

PQP^QPvQ
TTFFTTT
TFFTFTF
FTTFFTT
FFTTFFT
PQP^QPvQP^Q→P
TTFFTTTT
TFFTFTFT
FTTFFTTT
FFTTFFTT

CONDITIONAL STATEMENTS ARE ONLY FALSE WHEN P IS TRUE AND Q IS FALSE FOR ALL OTHER CONDITIONS IT’S TUE  

According to the definition of tautology being true any state given as the premises.

            YOU CAN MESSAGE EMPERORELECTRICALWORKS@GMAIL.COM FOR MORE ENLIGHTMENT.

Oluwamuyide Peter

My name is seyi, the main aim of creating this platform is to help users get information like school updates, electrical engineering topics and many more for free

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