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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 61 Medium Difficulty

Solve the following inequalities. See Section 2.4.
$$
2 x-5>4 x+3
$$

Answer

$(-\infty,-4)$

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Chapter 3

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Graphing Equations

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Video Transcript

in this problem were given the inequality two X minus five is greater than four X plus three. When solving inequalities, you're gonna usually work. I'm just like you would any equation? The only difference will come at the final step in the final step. If you divide by a negative number, you're going to flip your inequality sign. You could also multiply, but most commonly is going to be dividing by negative number. So on this inequality we have two X minus five is greater than four x plus. Great. We need to get our terms with the X on one side of the inequality sign in terms without the eggs on the other side. And for inequalities is always best to get your term with your variable Onley left Saad so less move our four x to the left side. Four X is positive, so we need to subtract four x on both sides. Two X honest four X is negative. Two x I'm going to bring down my negative five my greater than and my three. Now we need to move our terms without our eggs to the right side. Will the term money to move is negative five. Since that is a negative five, we need to add up to both shots. Battle, cancel out on the left side of left with negative to eggs. I'm gonna bring down my inequality sign. And three plus five is eight. Now we're ready to divide. We've got negative two times X. So we're going to divide by Negative too. Since we are dividing by a negative too. We're gonna change our inequality. Sign to less than it was greater than now. It's got to be less than our negatives. Cancel out and leave me with just X and eight divided by negative two is negative for so X is less than negative for

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