TEST BANK FOR Mathematical Thinking Problem Solving and Proofs 2nd Edition By John P. D\\\'Angelo, Douglas B. West Converted

1. NUMBERS, SETS, AND FUNCTIONS 1.1. “We have at least four times as many chairs as tables.” The number of chairs (c) is at least () four times the number of tables (t). Hence c  4t. 1.2. Fill in the blanks. The equation x2CbxCc D 0 has exactly one solution when b2 D 4c, and it has no solutions when b2 < 4c. These statements follow from the quadratic formula. 1.3. Given that x Cy D 100, the maximum value of x y is 2500. By the AGM Inequality, x y  . xCy 2 /2 D . 1000 2 /2 D 250...