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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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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