Determination of Truth Value of Compound Propositions

Question

Construct the following propositions p, q, and r.

          p : For all x. x+1>x.

          q : For all x, x²>0

          r : For all x, (x+2)² = x² + 4.

Determine the truth value of each of the following compound propositions.

1. ( p ~q )  r
2. ( p r )  ~( p  ~q )
3. r (~p  ~q)
4. ( p ~q )  ( q ~r )  ( r  ~p)
5. ~ ((p q)  ~r)

Summary

This question belongs to mathematics and discusses about construction of propositions and to determine the truth value of each of the given compound propositions.

Total word count: 94