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]
| P | Q | P^Q | PvQ | Pv Q] | ||
| T | T | F | F | T | T | T |
| T | F | F | T | F | T | T |
| F | T | T | F | F | T | F |
| F | F | T | T | F | F | T |
- (a) Derive that truth table for p^q→p is a tautology
SOLUTION
| P | Q | P^Q | PvQ | |||
| T | T | F | F | T | T | T |
| T | F | F | T | F | T | F |
| F | T | T | F | F | T | T |
| F | F | T | T | F | F | T |
| P | Q | P^Q | PvQ | P^Q→P | |||
| T | T | F | F | T | T | T | T |
| T | F | F | T | F | T | F | T |
| F | T | T | F | F | T | T | T |
| F | F | T | T | F | F | T | T |
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.
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