Given these values for the boolean variables x, y, and z:

x=true; y=true; z=false;

Indicate whether each expression is true (T) or false (F):

1) ! (y || z) || x

2) z && x && y

3) ! y || (z || x)

4) x || x && z

1. True.

2. False.

3. True.

4. True.

Explanation:

Remember OR operator (||) gives false when both of it's operands are false. AND Operator (&&) gives false when even one of it's operator is false.

In first part we have

! (True || False) || True

=! True||True

=False||True

=True

In second part we have.

False && True && True

= False && True

=False.

In Third part

! True || (False || True)

=False || True

=True.

In fourth part

True || True && False

=True|| False

=True.