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Problem

Solve the following inequalities. See Section 2.4…
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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 103 Problem 104

Problem 60 Medium Difficulty

Solve the following inequalities. See Section 2.4.
$$
-3 x>18
$$

Answer

$(-\infty,-8)$

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Intermediate Algebra

Chapter 3

Graphs and Functions

Section 1

Graphing Equations

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Video Transcript

in this problem, I'm given the inequality negative. Three X is greater than 18. When you're solving inequalities, you're gonna work them just as you would any equation. Except there's one thing at the end that will be a little different at the end. If you multiply or the VOD, and most commonly it will be a dividing by negative number, you're going to flee up. You're inequality, son. So in this one, we have negative three X is greater than 18. Now we're not. We do not have to add or subtract because we have the term with the variable on the left side and the terms without the variable on the right side. So there's no simplifying or adding and subtracting today, so we're ready to go ahead and start the multiplying or dividing. I have negative three times X, so I need to divide by negative three on both shots. Now, In this case, I am dividing by a negative number, which means that my sign, my inequality sign must flip. Originally, it said greater than now. It has to say less, then my negative threes. We're going to cancel out on the left side and leave me with X 18 divided by negative three is negative. Six. So a solution is X is less than negative six.

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