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

• 3 - 2 = - 5, select choice vertical angles congruent. select choice p is select choice, and q is select choice, so p and q is select choice.

Explanation:

Step1: Analyze each statement

• For \(p: - 3-2=-5\), calculate \(-3 - 2=-(3 + 2)=-5\), so \(p\) is True.
• For \(q\): Vertical angles are congruent. By the vertical - angles theorem, \(q\) is True.
• For \(r:2 + 8>10\), calculate \(2+8 = 10\), and \(10>10\) is False.

Step2: Determine the compound statement

Since we want a conjunction (\(p\land q\land r\)) or disjunction (\(p\lor q\lor r\)). A conjunction is True only when all statements are True. A disjunction is False only when all statements are False.
Let's consider the disjunction \(p\lor q\lor r\).
Since \(p\) is True (\(T\)), \(q\) is True (\(T\)), and \(r\) is False (\(F\)). For a disjunction \(A\lor B\lor C\), if at least one of \(A\), \(B\), \(C\) is True, the disjunction is True.

Answer:

The compound statement \(p\lor q\lor r\) is True.