Inequalities
Using the inequalities when working out your math problems you have to make sure that you are using the proper format of the problem. I will also be using equations that are equivalent to one another, along with compound inequality and showing the intervals of the problem and infinity of the problem. I will be using the terms inequality, equivalent, compound inequality, interval and infinity. I will be using the formula for Body Mass Index for the problems that I am working to solve and to calculate. According to Dugopolski, “The formula for Body Mass Index is: BMI=703W” (2012). BMI=703W H2
Where W = one’s weight in pounds, and H = one’s height in inches.
17<BMI<22
17<703W<22 this is an equivalent inequality replacing BMI with the formula H2
17<703W<22 H2 is replaced by the height in inches 65.52
17<703W < then you multiply all three of the terms by the denominator 65.52
17(4290.25) < 703W (4290.25) < 22(4290.25) the canceling has been done 4290.25
72934.25 < 703W < 94385.5 the multiplication has been done also
72934.25 < 703W < 94385.5 the terms has been divided and the W has been isolated
703 703 703
104 < 134
It is assumed that the persons that are 65.5 inches might have a longer life span if they are at the weight of about 104 pounds and 134 pounds. Now the second inequality formula for W has to be solved, before W can be plugged into find the value of W.
23< 703 < 25 first multiply all the terms by H2 to take away the denominator H2
23 H2 < 703W < 25 H2 divide all terms to get 703 isolated and W
23 H2 < W <25 H2 this is equivalent inequality to solve the second weight interval
I will plug in the height squared (4290.25) <W< 25 (4290.25) multiply these terms by the squared. This will help me to find out what the second
Where W = one’s weight in pounds, and H = one’s height in inches.
17<BMI<22
17<703W<22 this is an equivalent inequality replacing BMI with the formula H2
17<703W<22 H2 is replaced by the height in inches 65.52
17<703W < then you multiply all three of the terms by the denominator 65.52
17(4290.25) < 703W (4290.25) < 22(4290.25) the canceling has been done 4290.25
72934.25 < 703W < 94385.5 the multiplication has been done also
72934.25 < 703W < 94385.5 the terms has been divided and the W has been isolated
703 703 703
104 < 134
It is assumed that the persons that are 65.5 inches might have a longer life span if they are at the weight of about 104 pounds and 134 pounds. Now the second inequality formula for W has to be solved, before W can be plugged into find the value of W.
23< 703 < 25 first multiply all the terms by H2 to take away the denominator H2
23 H2 < 703W < 25 H2 divide all terms to get 703 isolated and W
23 H2 < W <25 H2 this is equivalent inequality to solve the second weight interval
I will plug in the height squared (4290.25) <W< 25 (4290.25) multiply these terms by the squared. This will help me to find out what the second
References: ALEKS 2011. MAT 22 ALEKS360 Algebra Guide (1st Ed.). New York, NY: McGraw-Hill Publishing. Dugoposki, M. (2012). Elementary and intermediate algebra (4th Ed.). New York, NY: McGraw-Hill Publishing.