Java Expression Evaluation

What is the equivalent expression to the given Java expression?

(y > 10000) || (x > 1000 && x < 1500)

Answer:

The equivalent expression to the given Java expression is (y > 10000 || x > 1000) && (y > 10000 || x < 1500). Therefore, option (c) is the correct answer. Option (a) is not equivalent because it changes the logical operator from "or" to "and", which changes the meaning of the expression. Option (b) is not equivalent because it only applies the "or" operator to the first condition and not to both. Option (d) and (e) are not equivalent because they use the "and" operator instead of "or" in the first condition, which also changes the meaning of the expression.

When evaluating Java expressions, it is important to understand the logical operators being used. In the given expression, "(y > 10000) || (x > 1000 && x < 1500)", the "||" operator represents "or" and the "&&" operator represents "and".

To find the equivalent expression, we can distribute the "or" operator across both conditions. This results in "(y > 10000 || x > 1000) && (y > 10000 || x < 1500)". This new expression maintains the logic of the original expression while rearranging the conditions for clarity.

Understanding how logical operators work in Java expressions is crucial for writing and interpreting code effectively. By recognizing the equivalent expressions and their implications, developers can ensure their code performs as intended.