Body Mass Index Inequalities

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Body Mass Index is a tool that doctors use to determine body fat according to weight and height. BMI is used to classify weight classes and help those who are overweight or underweight. There are four ranges of BMI, from underweight to obese. The problem with using the BMI is that it does not take into consideration the frame of a person or the muscle weight on a person, like athletes. This could be a problem and make some ones BMI higher and put them into a BMI category that is not necessarily true. To figure out your BMI, first weigh yourself 180 pounds, next measure your height in inches. Take your height in inches and square the number or in other words multiply the number of inches by the same number of inches. Then divide your weight in pounds by your squared height. The last step is to multiply that answer by the conversion factor 703, the answer is your body mass. Let’s take a closer look, the formula is BMI = 703W/H2. The W is weight and the H is height. The terms for the BMI is W = 180 lbs and H = 67.25 inches. Using personal height, four intervals must be found using compound inequalities. The first interval shows the BMI for those who may have a longer than average life span than average. 17 < BMI < 22 This is a compound inequality 17 < 703W/H2 < 22 Replacing the BMI with the formula created an equivalent Inequality H2 17 < 703W < 22 (67.25)2 H2 has been replaced by the height in inches. 17 < 703W < 22 4522.5625 The denominator was square and then multiplied times each term in the numerator: 17, 703W, and 22

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