Question: 8. (a) [1 point] Write down the statement of Lagrange's Theorem. (b) [3 points] Consider Q, the group of rational numbers (with addition as the

8. (a) [1 point] Write down the statement of Lagrange's Theorem. (b) [3 points] Consider Q, the group of rational numbers (with addition as the binary operation). Let G be the subset of Q defined as follows: k G = 2m 50 : k E Z and m, nEN. Using the subgroup test prove that G is a subgroup of

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