# 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

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