By Hamilton W.R.

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**Example text**

3 ∉ 57, 6, 5, 46 41. 1 ∈ 511, 5, 4, 3, 16 45. 52, 5, 8, 96 = 52, 5, 9, 86 47. 55, 8, 96 = 55, 8, 9, 06 42. 12 ∈ 518, 17, 15, 13, 126 46. 53, 0, 9, 6, 26 = 52, 9, 0, 3, 66 48. 53, 7, 12, 146 = 53, 7, 12, 14, 06 49. 5x ͉ x is a natural number less than 36 = 51, 26 50. indd 33 26/08/16 10:27 am 34 CHAPTER R Review of Basic Concepts Let A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146. Determine whether each statement is true or false. See Example 3.

3 + 4 = 21 -722 + 4152 -3 + 4 Work inside the parentheses. = 21492 + 4152 -3 + 4 Evaluate the exponential. = 98 + 20 1 Multiply in the numerator. Add in the denominator. a = 118 Add; 1 = a. (c) This is a complex fraction. Work separately above and below the main fraction bar, and then divide as a last step. x y 2 5 3z 8y + 9 5 -2 5 2 5 = Substitute: x = -2, y = 5, and z = -3. 31 - 32 8152 + 9 5 = -1 - 1 -1 + 8 2 = - 7 Simplify the fractions. Subtract and add; -a b a = - b. ■ ✔ Now Try Exercises 35, 43, and 45.

1. 50, 1, 2, 3, c6 describes the set of . 2. 5 c, - 3, - 2, - 1, 0, 1, 2, 3, c6 describes the set of 3. In the expression 6 3, 6 is the . , and 3 is the . 4. If the real number a is to the left of the real number b on a number line, then a b. 5. The distance on a number line from a number to 0 is the of that number. 6. CONCEPT PREVIEW Match each number from Column I with the letter or letters of the sets of numbers from Column II to which the number belongs. There may be more than one choice, so give all choices.