By Earl Swokowski, Jeffery A. Cole

The most recent variation within the hugely revered Swokowski/Cole precalculus sequence keeps the weather that experience made it so well-liked by teachers and scholars alike: its exposition is apparent, the time-tested workout units function a number of functions, its uncluttered format is beautiful, and the trouble point of difficulties is suitable and constant. Mathematically sound, ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY, vintage variation, 12E, successfully prepares scholars for extra classes in arithmetic via its very good, time-tested challenge units

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**Sample text**

H) The reciprocal of f is at most 14. ( i ) The absolute value of x is less than 4. Exer. 7–8: Express the statement as an inequality. 7 (a) x is negative. Exer. 9–14: Rewrite the number without using the absolute value symbol, and simplify the result. 9 (a) ͉ Ϫ3 Ϫ 2 ͉ (b) ͉ Ϫ5 ͉ Ϫ ͉ 2 ͉ (c) ͉ 7 ͉ ϩ ͉ Ϫ4 ͉ (c) q is less than or equal to . 10 (a) ͉ Ϫ11 ϩ 1 ͉ (b) ͉ 6 ͉ Ϫ ͉ Ϫ3 ͉ (c) ͉ 8 ͉ ϩ ͉ Ϫ9 ͉ (d) d is between 4 and 2. 11 (a) ͑Ϫ5͉͒ 3 Ϫ 6 ͉ (b) ͉ Ϫ6 ͉͑͞Ϫ2͒ (c) ͉ Ϫ7 ͉ ϩ ͉ 4 ͉ (e) t is not less than 5.

Are often used to denote sets, and lowercase letters a, b, x, y, . . usually represent elements of sets. Throughout this book, ޒdenotes the set of real numbers and ޚdenotes the set of integers. Two sets S and T are equal, denoted by S ϭ T , if S and T contain exactly the same elements. We write S T if S and T are not equal. Additional notation and terminology are listed in the following chart. Notation or terminology aʦS a S S is a subset of T Constant Variable Meaning Illustrations a is an element of S a is not an element of S 3ʦޚ Every element of S is an element of T A letter or symbol that represents a specific element of a set A letter or symbol that represents any element of a set ޚis a subset of ޒ 3 5 ޚ 5, Ϫ 22, Let x denote any real number 28 CHAPTER 1 FUNDAMENTAL CONCEPTS OF ALGEBRA ͕x ͉ x Ͼ 3͖ is an equivalent notation.

1 ϫ 10Ϫ31 kilogram. Express this number in decimal form. 55 Light year In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in one light year. 56 Milky Way galaxy (a) Astronomers have estimated that the Milky Way galaxy contains 100 billion stars. Express this number in scientific form. (b) The diameter d of the Milky Way galaxy is estimated as 100,000 light years.