By Margaret L. Lial
Is there whatever extra attractive than an “A” in Algebra? to not the Lial crew! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying assets with one target in brain: giving scholars all of the instruments they should be successful. With this revision, the Lial workforce has additional subtle the presentation and workouts during the textual content. they give numerous interesting new assets for college kids that may supply additional aid while wanted, whatever the studying atmosphere (classroom, lab, hybrid, on-line, etc)–new examine abilities actions within the textual content, an accelerated video software on hand in MyMathLab and at the Video assets on DVD, and extra!
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Additional resources for Intermediate Algebra (11th Edition)
25. Every integer is a whole number. 26. Every natural number is an integer. 27. Every irrational number is an integer. 28. Every integer is a rational number. 29. Every natural number is a whole number. 30. Some rational numbers are irrational. 31. Some rational numbers are whole numbers. 32. Some real numbers are integers. 33. The absolute value of any number is the same as the absolute value of its additive inverse. 34. The absolute value of any nonzero number is positive. 35. Concept Check Match each expression in parts (a)–(d) with its value in choices A–D.
5 7 - 10 78. - 7 7 - 12 79. 0 6 x 80. - 3 6 x Use an inequality symbol to write each statement. See Example 8. 81. 7 is greater than y. 82. - 4 is less than 10. 83. 5 is greater than or equal to 5. 84. - 6 is less than or equal to - 6. 85. 3t - 4 is less than or equal to 10. 86. 5x + 4 is greater than or equal to 21. 87. 5x + 3 is not equal to 0. 88. 6x + 7 is not equal to - 9. 89. t is between - 3 and 5. 90. r is between - 5 and 12. 91. 3x is between - 3 and 4, including - 3 and excluding 4.
B; Examples: 34 and x 10 7. B; Examples: 6, 2x , - 4ab 2 8. A; Examples: The term 8z has numerical coefficient 8, and - 10x 3y has numerical coefficient - 10. 7, p, ͙11 7 Real Numbers | 12 | = 12 if a is positive or 0 if a is negative | - 12 | = 12 Operations on Real Numbers Addition Same Sign: Add the absolute values. The sum has the same sign as the given numbers. - 2 + 1- 72 = - 12 + 72 = - 9 -5 + 8 = 8 - 5 = 3 - 12 + 4 = - 112 - 42 = - 8 Different Signs: Find the absolute values of the numbers, and subtract the lesser absolute value from the greater.