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2. Consider the inequality |10x - 20| < 5. A. The solution to this inequality is equivalent to that of the inequality |x − 2| < 1/1. Discuss with a partner how this result can be deduced algebraically. B. The resulting solution interval to this inequality is (1.5, 2.5). Discuss with a partner why this solution makes sense algebraically and intuitively. C. If our original inequality of interest was altered to instead be |10x – 20| < 2, how would the resulting solution interval change? Dicc

2. Consider the inequality |10x - 20| < 5. A. The solution to this inequality is equivalent to that of the inequality |x − 2| < 1/1. Discuss with a partner how this result can be deduced algebraically. B. The resulting solution interval to this inequality is (1.5, 2.5). Discuss with a partner why this solution makes sense algebraically and intuitively. C. If our original inequality of interest was altered to instead be |10x – 20| < 2, how would the resulting solution interval change? Dicc

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider the inequality \(|10x - 20| < 5\). - **A.** The solution to this inequality is equivalent to that of the inequality \(|x - 2| < \frac{1}{2}\). Discuss with a partner how this result can be deduced algebraically. - **B.** The resulting solution interval to this inequality is \((1.5, 2.5)\). Discuss with a partner why this solution makes sense algebraically and intuitively. - **C.** If our original inequality of interest was altered to instead be \(|10x - 20| < 2\), how would the resulting solution interval change? Discuss your results with a partner.
Transcribed Image Text:2. Consider the inequality \(|10x - 20| < 5\). - **A.** The solution to this inequality is equivalent to that of the inequality \(|x - 2| < \frac{1}{2}\). Discuss with a partner how this result can be deduced algebraically. - **B.** The resulting solution interval to this inequality is \((1.5, 2.5)\). Discuss with a partner why this solution makes sense algebraically and intuitively. - **C.** If our original inequality of interest was altered to instead be \(|10x - 20| < 2\), how would the resulting solution interval change? Discuss your results with a partner.
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