Question

Which one of the following is correct about the Boolean expression "X>3" AND "Y>5" OR "Z=3"?

1) The expression is true if X is greater than 3 and Y is greater than 5, or if Z is equal to 3
2) The expression is true if X is greater than 3 and Y is greater than 5, but not if Z is equal to 3
3) The expression is true if X is greater than 3 or Y is greater than 5, but not if Z is equal to 3
4) The expression is true if X is greater than 3 or Y is greater than 5, or if Z is equal to 3

Answer 1

The correct statement about the Boolean expression "X>3" AND "Y>5" OR "Z=3" is option 4) The expression is true if X is greater than 3 or Y is greater than 5, or if Z is equal to 3.

Step-by-step explanation:

The correct statement about the Boolean expression "X>3" AND "Y>5" OR "Z=3" is option 4) The expression is true if X is greater than 3 or Y is greater than 5, or if Z is equal to 3.

This is because the Boolean operator AND takes precedence over the operator OR. So, the expression is evaluated as (X>3 AND Y>5) OR (Z=3). If either of the conditions within the parentheses is true, the expression will be true. If both conditions within the parentheses are false, the expression will be false.

For example, if X = 4, Y = 6, and Z = 3, the expression will be true because X>3 is true and Z=3 is true. However, if X = 2, Y = 4, and Z = 2, the expression will be false because both X>3 and Z=3 are false.