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    Equivalents to Given Statements

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    Can you give an equivalent statement to

    1. If an Iowa farmer does not grow corn or beans, then he grows alfalfa.

    2. It is not true that both Baghdad and Iraq are countries.

    3. If my nephew is playing BB tonight, then I am going to the game.

    © BrainMass Inc. brainmass.com October 3, 2022, 12:56 am ad1c9bdddf
    https://brainmass.com/math/consumer-mathematics/equivalents-given-statements-468495

    SOLUTION This solution is FREE courtesy of BrainMass!

    These statements can be written using logical connectives.

    The following symbols are typically used:

    ~ means negation
    ^ means 'and' and is a conjunction connective
    V means 'or" and is a disjunction
    --> is an "if, then" statement.

    Typically we use parenthesis around the connectives that appear together on one side of a comma.

    Here are the translations for your three combined statements.

    1.
    Let p: Iowa farmer grows corn
    Let q: Iowa farmer grows beans
    Let r: Iowa farmer grows alfalfa

    The statement: If an Iowa farmer does not grow corn or beans, then he grows alfalfa.
    Translates to: ~(p V q) --> r

    2.
    Let p: Baghdad is a country
    Let q: Iraq is a country

    The statement: It is not true that both Baghdad and Iraq are countries.
    Translates to: ~(p ^ q)

    3.
    Let p: My nephew is playing BB tonight
    Let q: I am going to the game

    The statement: If my nephew is playing BB tonight, then I am going to the game
    Translates to: p --> q

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com October 3, 2022, 12:56 am ad1c9bdddf>
    https://brainmass.com/math/consumer-mathematics/equivalents-given-statements-468495

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