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Write the negation of the following stat...

Write the negation of the following statements:(i) p: For every real number `x ,``x^2> x`.(ii) q: There exists a rational number x such that `x^2=2`.(iii) r: All birds have wings.(iv) s: All students study mathematics at the element

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To write the negation of the given statements, we will follow logical principles. The negation of a statement essentially reverses its meaning. Let's go through each statement step by step. ### Step-by-Step Solution: **(i) p: For every real number `x`, `x^2 > x`.** To negate this statement, we need to change "for every" to "there exists" and reverse the inequality. ...
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