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 need help with this question? get a hint watch: \truth values of conjunctions\

Explanation:

Step1: Determine truth - value of p

Calculate $-3 - 2=-5$, so $p$ is true.

Step2: Determine truth - value of q

Vertical angles are congruent by geometric definition, so $q$ is true.

Step3: Determine truth - value of 'p and q'

In a conjunction, if both statements are true, the compound statement is true. Since $p$ is true and $q$ is true, 'p and q' is true.

Answer:

$-3 - 2=-5$ is true; vertical angles are congruent is true; $p$ is true, and $q$ is true, so $p$ and $q$ is true.