Question: MATH 401 INTRODUCTION TO ANALYSIS-I, SPRING TERM 2016, PROBLEMS 5 Inequalities Return by Monday 15th February 1. Suppose that a, b, x, y are real

MATH 401 INTRODUCTION TO ANALYSIS-I, SPRING TERM 2016, PROBLEMS 5 Inequalities Return by Monday 15th February 1. Suppose that a, b, x, y are real numbers satisfying a < x < b and a < y < b. Show that |x y| < b a. 2. Sketch the graph of the equation y = |x + 2| |x 1|. 3. Find all real numbers x that satisfy the inequality 4 < |x 2| + |x| < 6. 4. Sketch the set of pairs (x, y) which satisfy 3|x| + 4|y| = 6

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