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

true or false:
1. true AND true
2. true OR false
3. true AND false
4. false or false

1 answer

Let's evaluate each of the expressions using Boolean algebra:

  1. true AND true:

    • This expression evaluates to true because both statements are true.
  2. true OR false:

    • This expression evaluates to true because at least one statement (the first one) is true.
  3. true AND false:

    • This expression evaluates to false because one of the statements is false.
  4. false OR false:

    • This expression evaluates to false because both statements are false.

Putting it all together:

  1. true
  2. true
  3. false
  4. false

Thus, the truth values are:

  1. true
  2. true
  3. false
  4. false