By Margaret L. Lial
Is there something extra appealing than an “A” in Algebra? to not the Lial workforce! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying assets with one target in brain: giving scholars the entire instruments they should be successful. With this revision, the Lial crew has extra sophisticated the presentation and routines through the textual content. they give a number of interesting new assets for college students that might supply additional aid whilst wanted, whatever the studying setting (classroom, lab, hybrid, on-line, etc)–new learn abilities actions within the textual content, an increased video software to be had in MyMathLab and at the Video assets on DVD, and extra!
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Additional resources for Algebra for College Students, 7th Edition
The interval is written 1- q , 42. The graph is shown in FIGURE 11 . Since the elements of the set are all real numbers less than 4, the graph extends to the left. –6 –5 –4 –3 –2 –1 0 1 2 The interval (–∞, 4) 3 4 5 6 NOW TRY FIGURE 11 The set 5x | x … - 66 includes all real numbers less than or equal to - 6. To show that - 6 is part of the set, a square bracket is used at - 6, as shown in FIGURE 12 . In interval notation, this set is written 1- q , - 64. –6 is included. –8 –6 –4 –2 The interval (–∞, –6] 0 2 FIGURE 12 NOW TRY EXERCISE 10 EXAMPLE 10 Graphing an Inequality Written in Interval Notation Write in interval notation and graph.
Division For all real numbers a and b (where b Z 0), a ؍a b a،b؍ # 1 . b That is, multiply the first number (the dividend) by the reciprocal of the second number (the divisor). There is no reciprocal for the number 0, so division by 0 is undefined. For example, 1 15 0 is undefined and - 0 is undefined. CAUTION Division by 0 is undefined. However, dividing 0 by a nonzero number gives the quotient 0. For example, 6 is undefined, 0 but 0 = 0 6 (since 0 # 6 = 0). Be careful when 0 is involved in a division problem.
64. 65. 66. = 13x + 42 + 12x + 72 = 3x + 14 + 2x2 + 7 = 3x + 12x + 42 + 7 = 13x + 2x2 + 14 + 72 67. = 13 + 22x + 14 + 72 68. = 5x + 11 69. By the distributive property, a1b + c2 = ab + ac. This property is more completely named the distributive property of multiplication with respect to addition. Is there a distributive property of addition with respect to multiplication? In other words, is a + 1b # c2 = 1a + b21a + c2 true for all real numbers, a, b, and c? To find out, try some sample values of a, b, and c.