For the following table, use Boolean algebra to select the correct truth value result.(4 points)

true false
false or false

true OR false

true AND true

true AND false

1 answer

Let's evaluate each expression in the table using Boolean algebra:

  1. false or false:

    • The OR operation between two false values results in false.
    • Result: false
  2. true OR false:

    • The OR operation between true and false results in true (since OR requires at least one true to return true).
    • Result: true
  3. true AND true:

    • The AND operation between two true values results in true.
    • Result: true
  4. true AND false:

    • The AND operation between true and false results in false (since AND requires both to be true to return true).
    • Result: false

Putting it all together in a table:

| Expression | Result | |-----------------------|---------| | false or false | false | | true OR false | true | | true AND true | true | | true AND false | false |

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