Lesson: Determine Truth Values of Negations, Conjunctions, and Disjunctions
In this lesson, we will learn how to analyze given statements, such as negations, conjunctions, or disjunctions, to determine the truth-value of its parts.
Sample Question Videos
Worksheet: 3 Questions • 1 Video
Let be the hypothesis “” and be the conclusion “ is prime.”
The conditional statement reads, “If , then is prime.” Is this true or false?
The converse statement reads, “If is prime, then .” Is this true or false?
The inverse statement reads, “If , then is not prime.” Is this true or false?
The contrapositive statement reads, “If is not prime, then .” Is this true or false?
Consider the conditional statement “If , then ,” where the hypothesis is “ and are even numbers” and the conclusion is “ is even.”
|Statement||If , then .||If , then .||If not , then not .||If not , then not .|
|True or False|
Complete the table to give the truth value of the conditional statement and its converse, inverse, and contrapositive.
Which of the following is the inverse of the conditional statement “If the measures of all the internal angles of a polygon are at most 180 degrees, then the polygon is convex?”