By R. David Gustafson, Rosemary M. Karr, Marilyn B. Massey
The hot variation of starting & INTERMEDIATE ALGEBRA is an exhilarating and leading edge revision that takes an already profitable textual content and makes it extra compelling for state-of-the-art teacher and scholar. the hot version has been completely up to date with a brand new inside layout and different pedagogical gains that make the textual content either more uncomplicated to learn and more uncomplicated to take advantage of. recognized for its transparent writing and an enticing, obtainable method that makes algebra appropriate, starting & INTERMEDIATE ALGEBRA is helping scholars to improve problem-solving talents and methods that they could use of their daily lives. the hot version welcomes new co-authors Rosemary Karr and Marilyn Massey who besides David Gustafson have constructed a studying plan to aid scholars achieve starting Algebra and transition to the subsequent point of their coursework. The authors have constructed an acute expertise of scholars' method of homework and current a studying plan keyed to new studying ambitions and supported by means of a entire variety of workout units that enhances the cloth that scholars have realized atmosphere the level for his or her luck.
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Additional resources for Beginning and Intermediate Algebra: An Integrated Approach (6th Edition)
3 –2 –1 0 1 2 3 4 5 –3 –2 –1 0 1 2 3 4 5 Figure 1-8 EXAMPLE 5 Graph all real numbers x such that x Ͻ Ϫ3 or x Ͼ 1. Solution e SELF CHECK 5 The graph of all real numbers less than Ϫ3 includes all points on the number line that are to the left of Ϫ3. The graph of all real numbers greater than 1 includes all points that are to the right of 1. The two graphs are shown in Figure 1-9. ) ( –5 –4 –3 –2 –1 0 1 2 3 –5 –4 –3 –2 –1 0 1 2 3 Figure 1-9 Graph all real numbers x such that x Ͻ Ϫ1 or x Ͼ 0. Use parentheses.
6 is an integer. 21. 22. 23. 25. 1 20. 2 is a natural number. 21 is a prime number. No prime number is an even number. 24. Ϫ3 Ͻ Ϫ2 8 Ͼ Ϫ2 26. 0 Ϫ11 0 Ն 10 9 Յ 0 Ϫ9 0 Place an appropriate symbol in each box to make the statement true. 27. 3 ϩ 7 10 29. 0 Ϫ2 0 2 3 1 2 ϭ 7 7 7 30. 4 ϩ 8 11 28. VOCABULARY AND CONCEPTS Fill in the blanks. 35. To write a number in prime-factored form, we write it as the product of numbers. 36. If the numerator of a fraction is less than the denominator, the fraction is called a fraction.
1 1 5ؒ3 ϭ 1ؒ5ؒ3 Divide out the common factors of 3 and 5. ϭ1 1ؒ1 1ؒ1ؒ1 1 1 e SELF CHECK 3 Multiply: 5 9 7 ؒ 10 . 2 Fractions 17 EXAMPLE 4 TRAVEL Out of 36 students in a history class, three-fourths have signed up for a trip to Europe. If there are 28 places available on the ﬂight, will there be room for one more student? Solution We ﬁrst ﬁnd three-fourths of 36. 3 3 36 ؒ 36 ϭ ؒ 4 4 1 3 ؒ 36 ϭ 4ؒ1 3ؒ4ؒ9 ϭ 4ؒ1 Write 36 as 36 1. Multiply the numerators and multiply the denominators. To simplify, factor the numerator.