Home > College Algebra calculators > Mathematical Logic, truth tables, logical equivalence calculator

 Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Problem: truth table p or (q and r)=(p or q) and (p or r) [ Calculator, Method and examples ]

Solution:
Your problem -> truth table p or (q and r)=(p or q) and (p or r)

To prove pvv(q^^r)=(pvvq)^^(pvvr), we have to first prepare the following truth table

 (1) (2) (3) (4)=(2)^^(3) (5)=(1)vv(4) (6)=(1)vv(2) (7)=(1)vv(3) (8)=(6)^^(7) p q r q^^r pvv(q^^r) pvvq pvvr (pvvq)^^(pvvr) T T T T T T T T T T F F T T T T T F T F T T T T T F F F T T T T F T T T T T T T F T F F F T F F F F T F F F T F F F F F F F F F

from this table, we can say that columns (5) and (8) are identical.
:. pvv(q^^r)=(pvvq)^^(pvvr)

Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me