These worksheets will teach your students how to construct truth tables according to inclusive disjunctions.

Home > Math Worksheets > Logic > Disjunctions (Using Logic Tables)

A disjunction is formed when two statements are formed into one by using the connector OR. This type of statement is symbolized by the symbol (downward carrots). Disjunctions are pretty easy to evaluate because only one of the statements has to true in order form the statement to true. The complete disjunction is false if either of the statements is false. A disjunction statement is only false if the operands are false as well. For instance, Paul is on the football team or Paul is on the basketball team. Even if one of those statements is true, the whole compound system will be true. Let us consider both statements by p and q, and solve them in the truth table.

p q p v q
T T T
F T T
T F T
F F F

You will be evaluating the overall truth value of many different statements that contain disjunctions with these problems. These worksheets explains how to construct truth tables according to the given inclusive disjunctions. Students will use these disjunctions to determine value across each cell.



Get Free Worksheets In Your Inbox!

Disjunctions (Using Logic Tables) Worksheets

Click the buttons to print each worksheet and answer key.

Disjunctions Using Logic Tables Lesson and Practice

Students are walked through this problem: Make a truth table for the statement: ~U V I. If the original is true, the ~ statement is false, and if the original is false, the ~ statement is true.

Print Now!

Worksheet

The symbol " V " signifies inclusive disjunction: a V statement is true whenever either (or both) of its component statements is true; it is false only when both of them are false.

Print

Practice

Students will construct truth tables using the inclusive disjunctions that is presented. Ten problems are provided.

Print

Review and Practice Page 1

This worksheet reviews the ins and outs of this skill and we have you move it into the next realm. A sample problem is solved.

Print

Review and Practice Page 2

This worksheet gives you a series of six practice problems to help you regain this skill.

Print

Quiz

Students demonstrate their proficiency constructing truth tables when taking into account inclusive disjunctions. Ten problems are provided.

Print

Skills Check

This serves as a good way for teachers to introduce or review all the skills that were presented here. Three problems are provided, and space is included for students to copy the correct answer when given.

Print