Question

What is a compound statement?Give an example

Answer 1

statements are connected by more than one operators, like, and, or, not etc then it is called a compound statement. If a table contains more than one statement and representing true value, then it is called truth table. In compound statement, there are different rule for Conjunction, Disjunction and Negation. Also, there are different symbols for all these things. In this page, we will explain all the truth table below, so that student can understand easily. An expression which contains more than one operators in it is called a compound statement.

Rule for Solving Compound Statement:

First solve the operations inside the parenthesis, then work on others. We will see the basic operators.

Disjunction:

The disjunction of a compound statement is only false if both the combining statements are false, else the disjunction is true. Disjunction is represented by the symbol " V " read as "or".

Conjunction:

The Conjunction of a compound statement is only True if both the combining statements are true. Else, the Conjunction is false. Conjunction is represented by the symbol " ^ " read as "and".

Negation:

The Negation of a compound statement is always opposite of given statement. If statement is false, then its negation will be false and vice verse. Negation is represented by ¬ and read as "not".

Answer 2

Answer:

Compound statement :

• When multiple operators, such as and, or, not, and others are used to connect statements, the result is referred to as a compound statement OR A compound statement is an expression that includes more than one operator.
• A table is referred to as a truth table if it has multiple statements that all represent true values.
• Different rules apply to conjunction, disjunction, and negation in compound statements.
• Additionally, every one of these objects has a unique symbol.

Rule for Compound Statement Solving:

Solve the operations between the parenthesis first, then move on to the others. We'll see the fundamental operators.

Disjunction:

• A compound statement's disjunction is only false if both of the combining statements are false; otherwise, it is true.
• Disjunction is symbolised by the letter "V," which can be read as "or."

Conjunction:

• A compound statement's conjunctive condition can only be met if both of the combining statements are true.
• Otherwise, the Conjunction is incorrect.
• The symbol "and" (read as "and") stands for conjunction.

Negation:

• A compound statement's negation is always the exact opposite of the provided assertion.
• If a statement is untrue, then it will also be untrue in its negation, and vice versa.
• The symbol for negation is ¬, which is pronounced "not."

#SPJ3