Exercise 6. Let x,y E R. Consider the following statement statement: If y² < x² + y, then y ≤ x. (a) Give the contrapositive of the statement form given above. (b) Negate the statement given above. (c) Find one pair of values (x, y) such that the negation of the statement is true. Justify that the values given make the negation true. (d) In part (c), we showed that the negation of the statement is true. Given that the negation is true, what can we discern to be the truth value of our original statement? (e) Based on part (d), is the constrpositive true or false? That is, given the truth value of the original statement found in part (d), what is the truth value of the contrapositive? Justify.

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