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Inequality Word Problems Explained Clearly

Learn how to solve inequality word problems step by step with clear examples and explanations. Practice setting up and solving inequalities to ace your math quizzes.

carter-vaughn
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Inequality Word Problems Explained Clearly

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  1. 4-5 Inequality Word Problems

  2. Use the same steps as writing an equation • Define variable • Set up inequality • Solve and interpret • Sentence

  3. Example 1 • Your quiz grades are 85, 89, 96. What is the lowest grade you can get on the last quiz to still get at least a 90 average. • q: Last Quiz How many points do we already have? 85 + 89 + 96 = 270 b) c) There is almost always an OGT question like this!!!!!!! We need at least a 90! (100 would be great!!!)

  4. Better here means…. Cheaper or less than!! Example 2: Real Life!!! You can choose from two cell phone plans Plan 1: $10 for 200 minutes and $0.10 for each addition minute. Plan 2: $30 for unlimited minutes For what number of minutes is plan 1 better than plan 2 • m: Minutes Used (Total) • 10 + 0.10(m-200) < 30 • Now solve! Answer: 400 Minutes. If you use more go for the unlimited!! I get it. We subtracted the 200 because we already paid for those

  5. Example 3 The base of a triangle is 10in. What are the possible heights so that the area is at most 50 in2? • h: height b) c) 5h≤ 50 h ≤ 10 The height must be at most 10 inches Hmm! What is that formula?

  6. Example 4 Find the least values of three consecutive even integers so that the sum of the first and third is less than 4 times the second. a) 1st: x 2nd: x + 2 3rd: x + 4 b) x + x + 4 = 4(x+2)

  7. Day 2) 4-5/190-191/15-26 4-4/184-186/35-53 eoo, 60-63, 74-76

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