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.

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.

Step-by-step 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.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.