Question

a.) Determine the truth sets of the following propositions over the positive integers:p ( n ) : n is a perfect square and n < 100q ( n ) : n = | P ( A ) | for some set A .b.) Determine T_{p\wedge q} for p and q above.

Answer 1

The question is missing some details. You want to determine the truth set of some propositions, but the sets are not clearly stated. I will, however explain what you are willing to achieve.

Answer:

Explanation:

To determine the truth set of some propositions is to investigate every detail of the proposition and see if they are true. If the proposition has just one untrue/false situation, the proposition is not true.

With respect to your work,

First, we write the values of p and q.

p = {1, 4, 9, 16, 25, 36, 49, 64, 81}

q = {Not clear}

If there is anything in the proposition that is not true, the proposition is then untrue.

(b) p ^ q is read "p conjunction q". They are the places where p and q are in conjunction.