3. Which of the following statements are true? (10 points)(a) If x is rational and y is irrational, then x + y is irrational.(b) If x is rational and y is rational, then x + y is rational.(c) If x is irrational and y is rational, then x + y is rational.(d) If x is irrational and y is irrational, then x + y is irrational. Prove the true ones and give examples to disprove the false ones.

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