Grant Christensen
03/15/2024 · High School
Each of the following words is the name of a logical operation. Select the word that this logical operation is related to. disjunction: Select an answer \( \hat{v} \) negation: Select an answer \( \hat{v} \) biconditional: Select an answer \( \hat{v} \) conditional: Select an answer \( \hat{v} \) conjunction: Select an answer \( \hat{v} \)
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Step-by-step Solution
To relate each logical operation to its corresponding word, we can use the following definitions:
1. **Disjunction**: This operation is represented by the logical operator "OR". It is true if at least one of the operands is true.
- Related word: **OR**
2. **Negation**: This operation is represented by the logical operator "NOT". It inverts the truth value of the operand.
- Related word: **NOT**
3. **Biconditional**: This operation is represented by the logical operator "IF AND ONLY IF". It is true if both operands are either true or false.
- Related word: **IF AND ONLY IF**
4. **Conditional**: This operation is represented by the logical operator "IMPLIES". It is true unless a true operand implies a false operand.
- Related word: **IMPLIES**
5. **Conjunction**: This operation is represented by the logical operator "AND". It is true only if both operands are true.
- Related word: **AND**
So, the selections would be:
- Disjunction: **OR**
- Negation: **NOT**
- Biconditional: **IF AND ONLY IF**
- Conditional: **IMPLIES**
- Conjunction: **AND**
Quick Answer
- Disjunction: OR
- Negation: NOT
- Biconditional: IF AND ONLY IF
- Conditional: IMPLIES
- Conjunction: AND
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