👉 In mathematics, the opposite of a statement or concept is its negation, which flips the truth value. For example, if a statement says "All prime numbers greater than 2 are odd," its opposite would be "There exists a prime number greater than 2 that is not odd." This means there's at least one counterexample, disproving the universal claim. Similarly, in algebra, if a statement is true for all values of a variable (e.g., \(x^2 = 4\) for all \(x\)), its opposite would be "There exists at least one value of \(x\) such that \(x^2 \neq 4\)," indicating the equation doesn't hold universally. The opposite essentially inverts the relationship or condition, turning universal truths into specific instances or disproving general statements.
