Mastering Java Expressions: Logical Operators

What is the equivalent expression to the given Java expression?

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

Equivalent Expression:

The equivalent expression to the given Java expression is (y > 10000) && (x > 1000 || x < 1500).

In the given expression, the logical operator "||" represents the logical OR operation, which evaluates to true if either of the conditions on either side of the operator is true. The logical operator "&&" represents the logical AND operation, which evaluates to true only if both conditions on either side of the operator are true.

The equivalent expression transforms the original expression by applying De Morgan's law, which states that the negation of a logical OR is equivalent to a logical AND with negated conditions. By distributing the negation, the equivalent expression ensures that both conditions (y > 10000) and (x > 1000 || x < 1500) must be true for the overall expression to evaluate to true.

Therefore, the equivalent expression (y > 10000) && (x > 1000 || x < 1500) is the correct choice.

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