# Negation - NOT and Conjunction - AND Worksheets

What Are Conjunction and Negation Statements? Logic is a representation of a mathematical statement that involves expressions in which the series of statements must be true. Each statement is interlinked and logically true. A conjunction statement in logic is a compound sentence. It contains a word and two simple sentences. The symbol for conjunction is ^^, and it is read as 'and.' It is used to join two simple sentences. In logic, a conjunction is a compound sentence formed by the word and to join two simple sentences, for example, p and q. it is represented as p ^^ q. A negation statement is a symbolization of the statement, which is not true. The negation of p is -p and is read as not p. It represents that the statement is not true. The '-' is not a connective, but it is a denotation for the representation of the statement. Table for the negation is as follows: It represents the correctness of logic to appear true or false. Such as; The negation of ¬p is the statement with the opposite truth value as ¬p. ¬(¬p) is the same as p. The negation of p ^ q asserts, "it is not the case that p and q are both true." Thus, ¬(p ^ q) is true exactly when one or both of p and q is false. That is when ¬p ⤓ ¬q is true. However, ¬(p ⤓ q) can be seen to the same as ¬p ^ ¬q.

• ### Basic Lesson

Demonstrates the concept of basic truth values and negation when given known statements. What is the truth-value of this sentence? "Triangles do not have four sides." Under negation, TRUE becomes FALSE, and FALSE becomes TRUE. The sentence is a negation of the sentence "Triangles do have four sides." This sentence is FALSE. The original sentence - "Triangles do not have four sides." – will have the opposite truth-value, so it is TRUE.

• ### Intermediate Lesson

Shows students how to determine truth values for word based statements using AND. What is the truth-value of the statement? "9 + 4 = 13 and 5 is a prime number." A conjunction is true when both claims are true.

• ### Independent Practice 1

Contains a mixture of problems using negation and conjunction. Students must determine the truth value.

• ### Independent Practice 2

Features truth value questions with assorted concepts. Students concentrate on negation and conjunction.

• ### Homework Worksheet

Features 6 negation and conjunction problems; students must determine the truth-value.

• ### Skill Quiz

10 truth value questions that include negation and conjunction. Scoring matrix is provided.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.