The Inequality Operator is a fundamental concept in programming and mathematics used to compare two values. It checks whether the values are not equal to each other. In many programming languages, this operator is represented by symbols like `!=` or `<>`. When the values being compared are different, the operator returns a true value; otherwise, it returns false. This operator is essential for decision-making processes in code, allowing developers to execute specific actions based on whether conditions are met. For example, in a conditional statement, the Inequality Operator can help determine if a user's input does not match a predefined value, guiding the program's flow accordingly.