Match the following words to their definition(4 points)
1 Bi-conditional Statement
2Compound Statement
3 Conditional Statement
4 Negation
a Statements joined by AND or OR
b If and only if statement
c having the opposite truth value
d If-then statement
1 b - If and only if statement
2 a - Statements joined by AND or OR
3 d - If-then statement
4 c - Having the opposite truth value
1 - b If and only if statement
Bi-conditional Statement is a type of statement that connects two statements with the words "if and only if", indicating that the two statements are both true or both false.
2 - a Statements joined by AND or OR
Compound Statement is a type of statement that is formed by combining two or more simpler statements using logical operators like "AND" or "OR".
3 - d If-then statement
Conditional Statement, also known as an if-then statement, is a type of statement that consists of two parts: an "if" part (the hypothesis) and a "then" part (the conclusion). It asserts that if the hypothesis is true, then the conclusion is also true.
4 - c having the opposite truth value
Negation is an operation that changes the truth value of a statement. It gives the opposite truth value of the original statement.
To match the words to their definitions, we can analyze each definition and find the corresponding word. Here's how to get the answer:
1. Bi-conditional Statement: The definition for this is "If and only if statement." This means that a statement is true if both parts of the statement are either true or false. In other words, it is a two-way implication. The answer is: b - Bi-conditional Statement.
2. Compound Statement: The definition for this is "Statements joined by AND or OR." When two or more statements are combined using the logical operators "AND" or "OR," they form a compound statement. The answer is: a - Compound Statement.
3. Conditional Statement: The definition for this is "If-then statement." It is a statement that consists of an "if" part (the hypothesis) and a "then" part (the conclusion). The truth value of the conditional statement depends on the truth value of the hypothesis and the conclusion. The answer is: d - Conditional Statement.
4. Negation: The definition for this is "Having the opposite truth value." When we negate a statement, we essentially express its opposite meaning or truth value. The answer is: c - Negation.
By matching the definitions to the words, we find:
1. Bi-conditional Statement: b
2. Compound Statement: a
3. Conditional Statement: d
4. Negation: c