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Solve each inequality or compound inequality. Wri…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124

Problem 76 Hard Difficulty

Solve each inequality or compound inequality. Write the solution set in interval notation and graph it.
$$
3(3-x) \geq 6+x
$$

Answer

$1 x \leq 3 / 4$

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Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 7

Solving Inequalities

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Video Transcript

Let's solve the inequality. The product of three and the binomial three minus X is greater than or equal to six plus X. Let's start by rewriting the inequality without the parentheses. To do this, we need to distribute three into the binomial on the left side. Three times three is nine three times negative X minus three x nine minus three X is greater than or equal to six plus x. Let's isolate the variable to the left side of the inequality by subtracting X from both sides. Nine. Minus four X is greater than or equal to six. Next, we're going to subtract nine from both sides. Toe. Isolate the negative for X negative. Four X is greater than or equal to negative three. And the final step here is to isolate X by using the inverse property of multiplication and divide both sides of inequality. My negative four. Because we're dividing by a negative, we need to remember to flip the inequality symbol this leaves us with X is less than or equal to positive. 3/4 an interval notation. We're going to open the interval with a parentheses at negative Infinity enclose the interval with a bracket at 3/4. Remember, the bracket is to indicate that the value of 3/4 is included in the solution set on our number line. Start with a closed circle at 3/4 and shade all values that are less than or equal. So we're going to shade to the left on our number line to include all values less than or equal to 3/4.

We have video lessons for 94.35% of the questions in this textbook

Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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