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 ∧ r

• 3 - 2 = - 5. select choice 2 + 8 > 10. select choice

p is select choice, and r is select choice, so p ∧ r is select choice

Explanation:

Step1: Determine the truth value of \(p\)

The equation \(p:-3 - 2=-5\).
Calculate \(-3-2=-(3 + 2)=-5\). So \(p\) is True (\(T\)).

Step2: Determine the truth value of \(r\)

The inequality \(r:2 + 8>10\).
Calculate \(2+8 = 10\), and \(10
ot>10\). So \(r\) is False (\(F\)).

Step3: Determine the truth value of \(p\land r\)

The logical - AND (\(\land\)) operation: \(p\land r\) is True only when both \(p\) and \(r\) are True.
Since \(p = T\) and \(r = F\), by the definition of the \(\land\) operation (\(T\land F=F\)).

Answer:

\(p\) is True, \(r\) is False, and \(p\land r\) is False.