Question

use the statements to write a compound statement for the conjunction or disjunction. then find the truth values.
p: $-3 - 2 = -5$
q: vertical angles are congruent.
r: $2 + 8 > 10$
p and q
$-3 - 2 = -5$,
select choice vertical angles
select choice congruent;
p is
select choice , and q is
select choice , so p and q is
select choice .

Explanation:

Step1: Evaluate Statement p

Calculate \(-3 - 2\). Subtracting 2 from -3 gives \(-3 - 2 = -5\), so p is true.

Step2: Evaluate Statement q

Recall the theorem: Vertical angles are congruent. So q is a true statement.

Step3: Analyze the Conjunction (p and q)

A conjunction "p and q" is true only if both p and q are true. Since both p (true) and q (true), the conjunction is true.

Answer:

• For "\(-3 - 2 = -5\)": True
• For "Vertical angles are congruent": True
• For the conjunction "p and q": True (because both p and q are true)