Let's evaluate each of the expressions using Boolean algebra:
-
true AND true:
- This expression evaluates to true because both statements are true.
-
true OR false:
- This expression evaluates to true because at least one statement (the first one) is true.
-
true AND false:
- This expression evaluates to false because one of the statements is false.
-
false OR false:
- This expression evaluates to false because both statements are false.
Putting it all together:
- true
- true
- false
- false
Thus, the truth values are:
- true
- true
- false
- false