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Euthyphro

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Inequalities

Thomas Cunningham

MAT221: Introduction to Algebra (GSO13360)

Instructor: Justin Hazel

Inequalities In this assignment I will be showing you how you can find out how to use Inequalities to find out how much you may or may not be overweight. You can use my equations and the examples of my work to find out exactly what category you might fall in. In this equation we are asked to use our own height to find out exactly if I might have a longer life span than the usual person. Before we start remember that W=my weight, and then H=my height.
W=178.2 and then H=67 In this first compound inequality, I had to take the equivalent inequality and replace it with the BMI formula. My height and weight has been added in to replace the current H^. The next steps for this compound inequality I had to multiply all the terms by the denominator. There was some cancellation done towards the first phase of the problem. I then all three terms where divided by 703 to isolate W. People’s height of 67 might be different life span of those whom might weigh between 108lbs and 128lbs. 17<BMI<=22
17<703W/67^<22
17<703W/4489<22
17(4489) <703W<22(4489)
76313<703W<8978
76313/703<8978/703
108<W<128
In order to solve this second inequality, what I need to do is solve for W and place the values of W. The very first thing that happens is I multiply all the terms by H^ in order to take out the denominator. I divided all the terms by 703 to isolate the W. My height will be added in order to find out the second weight interval (4489). Multiplication was done and then dividing was done right after that. Those of people whom may weigh between 145lbs and 160lbs are most likely not over weight. 23<BMI<=25
23<703W/H^<25
23H^<703W<25H^
23H^/703<W<25H^/703
23(4489)/703<W<25(4489)
103247/703<W<112225/703
145<W<160 The third part of this interval will be done by 25.1 and 29.9 into the above compound equality. Multiplication was done and then dividing was done again. This shows that people whom may be the height of 67inches that may weigh between the marks of 160lbs and 191lbs may be overweight. 25.1(4489)/703<W<29.9(4489)/703
112673.9/703<W<134221.1/703
160<W<191 For this last weight interval may find that those whom may be obese at this height. For this compound, all I need to do is take the middle and right terms of the basic equality and substitute
30 for 29.9. I multiplied and then divided. The findings of this show that people whom are 67inches, and weigh 192 and above would most likely reap the beinfits of changing the way that they live.
W>30(4489)/703
W>134670/703
W<192

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