Prove that if ris any rational number, then 3r - 2r + 4 is rational. The following properties may be used in your proof. Property 1: Every integer is a rational number. Property 2: The sum of any two rational numbers is rational. Property 3: The product of any two rational numbers is rational. Note: Property 1 is Theorem 4.3.1, Property 2 is Theorem 4.3.2, and Property 3 is Exercise 15 in Section 4.5 Using these properties, choose explanations for each step in the given proof. Statement Explanation Suppose r is a rational number. Starting point. 3, -2, 4 are rational numbers. ---Select--- v 2 is a rational number. ---Select--- v 3r and -2r are rational numbers. ---Select--- v 3r - 2r = 3r2 + (-2)r is a rational number. ---Select--- v Therefore, 3r – 2r + 4 is a rational number. ---Select--- v

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