Consider the following equations. In each case suppose that we apply the Intermediate Value Theorem using the interval [0, 1]. (i.e., we take a = 0, b = 1 in the Intermediate Value Theorem.)
(i) x2 + x - 1 = 0(ii) 2ex = x - 2(iii) ln(x+1) = 2 - 2x
For which equations does the Intermediate Value Theorem conclude that there must be a root of the equation in the interval (0, 1)?
(A) (i) only (B) none of them (C) (ii) and (iii) (D) (iii) only (E) (ii) only (F) (i) and (iii) (G) (i) and (ii) (H) all of them