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Herbert J. Bernstein Professor of Computer Science
Dept. of Mathematics and Computer Science, 150 Idle Hour Blvd., KSC 121, Oakdale, NY 11769-1999

90092 MTH 1002 A -- Fundamentals of Mathematics -- Fall 2012
Online Course
Quiz 2

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This is the weekly quiz for 27 September 2012 for the MTH 1002 course. Please do this quiz after you have completed the rest of assignment 2. It should take between one half hour and 2 1/2 hours to complete if you are well prepared, longer if not.

  <==== Do this AFTER you've answered all the questions

You probably DON'T want to do this ===>  

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For each of the following questions you will be asked to do one or more of the following: When you provide a solution, you should provide the answer either as a set of values enclosed in braces, e.g. x = {35}, or as an interval, e.g. y = [-3,12), where a square brack indicates that the endpoint on the interval is to be included and a parenthesis indicates that the endpoint is not to be included. For intervals that extend to infinity, use "inf" instead of ∞, e.g. z = [1,inf) or x = (-inf,-1]. If there is no solution, give the result as an empty pair of braces {}. If the answer requires multiple intervals or multiple discrete values, give all the intervals and all the discrete values, but you must not give overlapping intervals. You may need to draw some graphs for yourself to avoid giving the answer as overlapping intervals. In order to help you practice working with fractions, which you will need to understand well to work with polynomials, all the numbers you provide in your answers are to either be whole numbers, or rational numbers reduced to lowest terms. No credit will be given for answers as decimal fractions, nor for answers that contain fractions that have not been reduced.

  1. Solve 3 x < -7

  2. Solve -5 z + 13 = 7 z - 8

  3. Solve 18 (y - 3) - 13 (2 y + 5) > 7 y + 8

  4. Solve 5x + 15 < 45

  5. Solve -5x + 15 > 45

  6. Solve 25 < 5x - 15 < 45

  7. Solve -45 < -5x - 15 < 45

  8. Solve -17 < x < 13 or 12 < x < 24

  9. Solve -17 < x < 12 or 12 ≤ x < 24

  10. Solve -17 < x < 12 or 12 < x < 24

  11. Solve -17 < 2 x < 12 or 12 < 2 x < 24

  12. Solve -17 < x < 13 and 12 < x < 24

  13. Solve -17 < x < 12 and 12 ≤ x < 24

  14. Solve -17 < x < 12 and 12 < x < 24

  15. Solve 16 z = 7 and 2 z < 1

  16. Solve 16 z = 7 and 2 z > 1

  17. Solve (7 y)/12 + (5 y)/13 = 6 y

  <==== Do this AFTER you've answered all the questions

You probably DON'T want to do this ===>  

Updated 9 September 2012.