Question

if \triangle def is a right triangle\ is a false statement, \its chilly out\ is a true statement, and \figure 1 is congruent to figure 2\ is a false statement, evaluate the truth of the statement \triangle def is a right triangle or its chilly out or figure 1 is congruent to figure 2.\

answer attempt 1 out of 2

. or statements are true if

Explanation:

Step1: Assign truth values

Let $P$ = "triangle $DEF$ is a right triangle" ($P = \text{False}$), $Q$ = "it's chilly out" ($Q = \text{True}$), $R$ = "Figure 1 is congruent to Figure 2" ($R = \text{False}$).

Step2: Evaluate the OR statement

An OR (disjunction) statement $P \lor Q \lor R$ is true if at least one component is true.
$P \lor Q \lor R = \text{False} \lor \text{True} \lor \text{False} = \text{True}$

Answer:

True
(Or statements are true if at least one of the statements is true.)