# Truth Values of Compound Sentences Worksheets

What Are the Truth Values of Compound Sentences? Here is the method to find such values without a truth table. Also, we have listed some logical operations in order of operator precedence. () Parenthetical Expressions, ∼ Negation (NOT), ∧ Conjunction (AND), ∨ Disjunction (OR), → Conditional (IF, THEN). Q1. Let p signify "7 < 2" and q characterize "4 > 3". Find the truth value of ∼p ∧ q. The value of p = 7 < 2 is FALSE. In addition, q = 4 > 3 is TRUE. So, here, you will find the truth value without table. In table, you had p and q rather than all the combination you have to write in one row, p is FALSE and the q is TRUE. Then, you will find ∼p ∧ q. You will write ∼p in its own column. And, in another column, you will write ∼p ∧ q. For the value p, it is FALSE? Then, you will suppose p is TRUE because of ∼p. Now, solve ∼p ∧ q. Here, the p is FALSE. But, ∧ separate them so they both need to be TRUE. So, q is TRUE. The value of ∼p ∧ q = TRUE.

• ### Basic Lesson

Demonstrates the concept of determining truth values of Compound Sentences. Determine the truth-value of the statement. 9 + 4 = 13 and 5 is a prime number.

• ### Intermediate Lesson

Shows students how to determine truth values of Compound Sentences. Let p represent "1 is a prime number" and q represents "a right angle contains exactly 90 degrees". What is the truth-value of p or q?

• ### Independent Practice 1

Contains a mixture of problems using Compound Sentences. Students must determine the truth value. Let p represent "A trapezoid has 4 unequal sides." and q represent "A rectangle has four equal sides." What is the truth-value of p or q?

• ### Independent Practice 2

Features truth value questions with assorted concepts. Students concentrate on Compound Sentences. Let P represent "A quadrilateral has four equal sides." and Q represent "A quadrilateral has four equal angles." What is the truth-value of P and Q when quadrilateral is square?

• ### Homework Worksheet

Features 6 Compound Sentences problems; students must determine the truth-value.

• ### Skill Quiz

10 truth value questions that include Compound Sentences. Scoring matrix is provided.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.