# Download Algebra for College Students, 5th Edition by Mark Dugopolski PDF

By Mark Dugopolski

Algebra for college kids, 4th variation, is designed to supply scholars with the algebra heritage wanted for extra college-level arithmetic classes. The unifying subject of this article is the improvement of the talents valuable for fixing equations and inequalities, through the applying of these abilities to fixing utilized difficulties. this article comprises 2 chapters, Polynomial & Rational services, and Counting & likelihood, as well as these present in Dugopolski's Intermediate Algebra.

**Read or Download Algebra for College Students, 5th Edition PDF**

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**Extra resources for Algebra for College Students, 5th Edition **

**Example text**

44444 . . is a rational number. 212112111211112 . . is a rational number. Every irrational number corresponds to a point on the number line. The intervals (2, 6) and (3, 9) both contain the number 6. com! > Practice Problems > NetTutor > Self-Tests > e-Professors > Videos Exercises U Study Tips V • Note how the exercises are keyed to the examples and the examples are keyed to the exercises. If you get stuck on an exercise, study the corresponding example. You must want success and you must discipline yourself to do what it takes to get success.

CAUTION It is not correct to use 0 or ͕0͖ as the empty set. The number 0 is not a set and ͕0͖ is a set with one member, the number 0. We use a special symbol л for the empty set. 3 E X A M P L E Intersection of sets Let A ϭ ͕0, 2, 3͖, B ϭ ͕2, 3, 7͖, and C ϭ ͕7, 8͖. List the elements in each of these sets. a) A ʝ B b) B ʝ C c) A ʝ C Solution a) A ʝ B is the set of all numbers that are in both A and B. So A ʝ B ϭ ͕2, 3͖. 3 E X A M P L E 4 A Venn diagram can be used to illustrate the result of Example 3(a).

The union of that set with A gives us A ʜ (B ʝ C) ϭ ͕1, 2, 3, 4, 5͖. 6 U6V Applications E X A M P L E 7 Using Venn diagrams An instructor surveyed her class of 40 students and found that all of them either watched TV or surfed the Internet last evening. The number of students who watched TV but did not surf the Internet was 10. The number who surfed the Internet but did not watch TV was 16. Find the number who did both. 7 ? 16 Solution Draw a two-circle Venn diagram as shown in Fig. 7. Since 10 students watched TV, but did not surf, place 10 inside the TV circle, but outside the Internet circle.