By James Stewart, Lothar Redlin, Saleem Watson

This most sensible promoting writer crew explains suggestions easily and obviously, with out glossing over tricky issues. challenge fixing and mathematical modeling are brought early and strengthened all through, supplying scholars with an outstanding starting place within the rules of mathematical pondering. accomplished and calmly paced, the ebook presents entire assurance of the functionality suggestion, and integrates an important volume of graphing calculator fabric to assist scholars boost perception into mathematical rules. The authors' awareness to element and readability, just like present in James Stewart's market-leading Calculus ebook, is what makes this booklet the industry chief.

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**Extra info for Algebra and Trigonometry , Third Edition **

**Example text**

Express each set in interval notation. 45. (a) 18. x Ͼ Ϫ4 19. x Ͻ Ϫ3 ■ 45–46 Omak, WA Geneseo, NY 80 75 70 65 Sun Mon Tue Wed Day Thu Fri Sat 14 CHAPTER P | Prerequisites 64. Fuel Consumption Suppose an automobile’s fuel consumption is 28 mi/gal in city driving and 34 mi/gal in highway driving. If x denotes the number of city miles and y denotes the number of highway miles, then the total miles this car can travel on a 15-gallon tank of fuel must satisfy the inequality 1 28 x ϩ 341 y Յ 15 Use this inequality to answer the following questions.

0000046271 1424 3 Move decimal 6 places to the left 6 places ■ NOW TRY EXERCISES 81 AND 83 To use scientific notation on a calculator, use a key labeled EE or EXP or EEX to enter the exponent. 629 2ND Scientific notation is often used on a calculator to display a very large or very small number. 91 ϫ 10Ϫ18, use a calculator to approximate the quotient ab/c. 7 ϫ 1036 For guidelines on working with significant figures, see the Appendix, Calculations and Significant Figures. We state the answer rounded to two significant figures because the least accurate of the given numbers is stated to two significant figures.

Signs of Numbers Let a, b, and c be real numbers with a Ͼ 0, b Ͻ 0, and c Ͻ 0. Determine the sign of each expression. 4 R ATIONAL E XPONENTS AND R ADICALS Radicals ᭤ Rational Exponents ᭤ Rationalizing the Denominator In this section we learn to work with expressions that contain radicals or rational exponents. ▼ Radicals We know what 2n means whenever n is an integer. To give meaning to a power, such as 24/5, whose exponent is a rational number, we need to discuss radicals. ” Thus 1a ϭ b It is true that the number 9 has two square roots, 3 and Ϫ3, but the notation 19 is reserved for the positive square root of 9 (sometimes called the principal square root of 9).