Suppose f is continuous on [1, 5] and the only solutions of the equation f(x) = 6 are x = 1 and x = 4. If f(2) = 8, show that f(3) > 6. Proof by contradiction: Select an appropriate statement to start the proof. O Suppose that f(3) > 6. O Suppose that f(3) > 8. O Suppose that f(3) < 6. O Suppose that f(3) = 8. O Suppose that f(3) = 6. v applied to the continuous function f on the closed interval [2, 3], the fact that f(2) = 8? 6 and f(3) < 6 implies that there is a number c in (2, 3) Hence, our supposition that f(3) < 6 was -Select-- v By the -Select--- such that f(c) = 6. This--Select-- v the fact that the only solutions of the equation f(x) = 6 are x = 1 and x = . It follows that f(3) 2 6, but f(3) 6 because the only solutions of f(x) = 6 are x = 1 and x = Therefore, f(3) ? 6.