Question

For what values of x, y, and z, including null, does the boolean expression x ≤ 3 or not(y ≥ 1 and z = 5) have the truth value false? Identify one of those values from the list below.

1) x = 4, y = 2, z = 5
2) x = 2, y = 0, z = 5
3) x = 1, y = 2, z = 4
4) x = 3, y = 1, z = 5

Answer 1

To make the boolean expression false, either x > 3, y < 1, or z ≠ 5. Option 2) x = 2, y = 0, z = 5 satisfies one of the conditions and makes the expression false.

Step-by-step explanation:

The boolean expression x ≤ 3 or not(y ≥ 1 and z = 5) has the truth value false when either x > 3, y < 1, or z ≠ 5. Let's check each option from the list provided:

1. x = 4, y = 2, z = 5 - In this case, x > 3, so the expression is false.
2. x = 2, y = 0, z = 5 - In this case, y < 1, so the expression is false.
3. x = 1, y = 2, z = 4 - None of the conditions are met, so the expression is true.
4. x = 3, y = 1, z = 5 - None of the conditions are violated, so the expression is true.

From the options given, option 2) x = 2, y = 0, z = 5 is an example where the expression has a false value.