Question

question 5 (1 point) use the following statements to write a compound statement for each conjunction or disjunction. then find its truth value. p: 60 seconds = 1 minute q: congruent supplementary angles each have a measure of 90. r: - 12 + 11 < - 1 -p v q a. 60 seconds = 1 minute or congruent supplementary angles each have a measure of 90; true. b. 60 seconds = 1 minute and congruent supplementary angles each have a measure of 90; true. c. 60 seconds ≠ 1 minute or congruent supplementary angles each have a measure of 90; false. d. 60 seconds = 1 minute or congruent supplementary angles each have a measure of 90; false.

Explanation:

Step1: Analyze the statements

Let \(p\): 60 seconds = 1 minute (True). Let \(q\): Congruent supplementary angles each have a measure of 90 (True).

Step2: Consider the disjunction \(

eg p\vee q\)
Since \(p\) is true, \(
eg p\) is false. The disjunction \(a\vee b\) is true if either \(a\) is true or \(b\) is true or both are true. Here, \(
eg p\) is false and \(q\) is true.

Answer:

The compound statement \(
eg p\vee q\) is True.