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ProblemSet7 Solutions

# ProblemSet7 Solutions - Department of Economics Ryerson...

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Department of Economics Ryerson University ECN230-Mathematics For Economics Problem Set #7 - Solutions EXERCISE 6.5 Problem 1: (a) Adding 3 x 2 to both sides, we get 3 < 4 x . Multiplying both sides of the latter by 1 / 4, we get the solution x > 3 / 4. (b) The solution is x < 9. (c) The solution is x < 1 / 2. (d) The solution is x > 3 / 2. Problem 2: The continued inequality is 8 x 3 < 0 < 8 x . Adding 8 x to all sides, and then multiplying by 1 / 8 (thereby reversing the direction of the inequality), we get the solution 0 < x < 3 / 8. Problem 3: (a) Using the de fi nition of the absolute value, we can write: 6 < x + 1 < 6. Substracting 1 from all sides, we get the solution 7 < x < 5. (b) The solution is 2 / 3 < x < 2. (c) The solution is 4 x 1. EXERCISE 6.7 Problem 2: (a) lim v N q = N 2 5 N 2. 1

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(b) The limit is equal to g ( N ). (c) All requirements for continuity are met. Problem 3: (a) lim v N q = ( N + 2) / ¡ N 2 + 2 ¢ . (b) The limit is equal to g ( N ).
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ProblemSet7 Solutions - Department of Economics Ryerson...

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