3. For this problem, refer to the two statements below, and the associated definitions. Statement 1: If the geometric figure n is a triangle, then n has 3 sides. Let G be the set of geometric figures. Let T(n) be the predicate 'n is a triangle - Let S(n) be the predicate "n has 3 sides" Statement 2: If the decimal expansion of a real number x repeats, then x is rational Let R be the set of real numbers. Let P(x) be the predicate "The decimal expansion of x repeats Let Q(x) be the predicate "x is rational" a. Write each of the statements above in logical notation using quantifiers. b. Write negations of each of the statements in English, as well as in logical notation. c. Write contrapositives for each of the statements in English, as well as logical notation d. Write the converse of each of the statements in English, as well as logical notation. e. Write the inverse of each of the statements in English, as well as logical notation