Suppose that we want to prove that for all positive integers n.a) Show that if we try to prove this inequality using mathematical induction, the basis step works, but the inductive step fails.________________b) Show that mathematical induction can be used to prove the stronger inequality for all integers greater than 1, which, together with a verification for the case where n = 1, establishes the weaker inequality we originally tried to prove using mathematical induction.

Highlighter Key: Purple: Formulas, Postulates, Etc. Blue: Important Terms Green: Example Answers Red: Sections Wk4, Day1 1.6.2: Rational Inequalities Ex: (x+5)/4 - x^2 ≤ 0 Step 1. Move all terms to one side of inequality. Find zeros of numerator and denominator. X+5=0, which is x=-5 4 – x^2 = 0, which is x=±2