By Earl W. Swokowski, Jeffery A. Cole
Transparent factors, an uncluttered and attractive structure, and examples and workouts that includes various real-life purposes have made this article well known between scholars 12 months after yr. This most up-to-date variation of Swokowski and Cole's ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY keeps those positive aspects. the issues were continuously praised for being at simply the appropriate point for precalculus scholars such as you. The ebook additionally offers calculator examples, together with particular keystrokes that enable you use a variety of graphing calculators to unravel difficulties extra speedy. maybe so much important-this booklet successfully prepares you for additional classes in arithmetic.
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Exer. 3–6: Replace the symbol ᮀ with either <, >, or ؍to make the resulting statement true. 143 22 7 ᮀ Exer. 7–8: Express the statement as an inequality. 7 (a) x is negative. ( i ) The absolute value of x is less than 4. Exer. 9–14: Rewrite the number without using the absolute value symbol, and simplify the result. 7 Ϫ 23 ͉ 1 1 (c) ͉ 5 Ϫ 3 ͉ ̈ 11 (a) ͑Ϫ5͉͒ 3 Ϫ 6 ͉ (b) y is nonnegative. (c) q is less than or equal to . ̈ (d) d is between 4 and 2. Exer. 15 – 18: The given numbers are coordinates of points A, B, and C, respectively, on a coordinate line.
2) If a is negative, then Ϫa is positive. In the following chart we define the notions of greater than and less than for real numbers a and b. The symbols Ͼ and Ͻ are inequality signs, and the expressions a Ͼ b and a Ͻ b are called (strict) inequalities. ” Copyright 2008 Thomson Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 10 CHAPTER 1 FUNDAMENTAL CONCEPTS OF ALGEBRA ILLUS TRATION Greater Than (>) and Less Than (<) 5 Ͼ 3, since 5 Ϫ 3 ϭ 2 is positive.
Such polynomials (together with the zero polynomial) are constant polynomials. If a coefficient of a polynomial is negative, we usually use a minus sign between appropriate terms. To illustrate, 3x 2 ϩ ͑Ϫ5͒x ϩ ͑Ϫ7͒ ϭ 3x 2 Ϫ 5x Ϫ 7. We may also consider polynomials in variables other than x. For example, Ϫ 3z7 ϩ 8 Ϫ 2 5 z 4 is a polynomial in z of degree 7. We often arrange the terms of a polynomial in order of decreasing powers of the variable; thus, we write 2 2 5z 2 2 5z Ϫ 3z7 ϩ 8 Ϫ 25 z 4 ϭ Ϫ3z7 Ϫ 25 z4 ϩ 25 z2 ϩ 8.
Algebra and Trigonometry with Analytic Geometry by Earl W. Swokowski, Jeffery A. Cole