Logic questions | form five Pure Advanced Mathematics

(6757) Question Category: Mathematical Calculation

Find a sentence having the following truth table:

P Q R S(P,Q,R)
T T T F
T T F T
T F T T
T F F F
F T T T
F T F F
F F T F
F F F T

 

Answer / Solution

UNSOLVED

(6758) Question Category: Mathematical Calculation

If veebar denotes the exclusive `or` , that is P veebar Q= (P vee Q ) wedge sim(P wedge Q), complete filling the following table:

P Q P veebar Q
T T  
T F  
F T  
F F  

 

Answer / Solution

UNSOLVED

(6759) Question Category: Mathematical Calculation

Check the validity of the following argument sim p 
ightarrow (q leftrightarrow sim r), sim r 
ightarrow sim p, q 
ightarrow sim r and sim r.

Answer / Solution

UNSOLVED

(6760) Question Category: Mathematical Calculation

Let A_{pq} denote p wedge q and let Np denote sim p. Write the following propositions using A and N instead of wedge and sim:

  1. sim p wedge q
  2. sim (p wedge sim q)
  3. (sim p wedge q)

Answer / Solution

UNSOLVED

(6761) Question Category: Mathematical Calculation

Use algebra of propositions to show that (p wedge q) vee [sim r wedge (q wedge p)] equiv p wedge q.

Answer / Solution

UNSOLVED


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