Algebra Problem Set: Inequalities, Absolute Value

66. Young's rule for determining the amount of a medicine dosage for a child is given by C = where a is the child's age and ad is the usual adult dosage, in milligrams. The dosage of a medication for a 5 year old child must stay between 50mg and 100 mg. Find the equivalent adult dosage.

52. 2|2x - 7| + 11 = 25

106. | | &#8805; 1

38. -4 &#8804; &#8804; 4

58. < -4 or > 4

88. |5x + 2| &#8804; 13

90. |7 - 2y| > 5

44. 4y - 3x &#8805; -12 equation (1)
4y + 3x &#8805; -36. equation (2)
y &#8804; 0, equation (3)
x &#8804; 0 equation (4)

***See attached file.***

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Solution Summary

This is a problem set of 8 questions involving inequalities and/or absolute values.

Complete answers and step-by-step explanations are included in the solution.

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Elisabeth Nicholson, PhD (IP)

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BA in Anthropology and Mathematics, Barnard College, Columbia University
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"Ok, here goes the re-write as per your suggestion: OLD:This is important to know and will require further research because the same occurrences in the Carver study does have a correlation between those who must have an HR degree in contrast who those with non-HR degree versus those with a professional certification in HR. The new re-write ::This is important to know and will require further research because the same occurrences in the Carver study does have a correlation between those who must have an HR degree to practice than for those with a non-HR degree who can still make a impact.:: You thoughts??"

"Hi Elisabeth, Thank you so much for your help! I was looking for help though with the manual calculations of the part below though so I would know how to do this problem, and cannot turn in my assignment with an online calculator used for the part below. Could you possibly answer the question below without the online calculator? We have to show our work. Thank you! A calculator to automatically solve these probabilities is here: http://www.vassarstats.net/textbook/ch5apx.html Fill in the table on that website with N = 4 and p = 0.5. Change the value of k to e 0, 1, 2, 3, and 4 to find the theoretical probabilities for each possible number of heads. They are: a. Zero Heads = 0.0625 = 6.25% b. One Head = 0.25 = 25% c. Two Heads = 0.375 = 37.5% d. Three Heads = 0.25 = 25% e. Four Heads = 0.0625 = 6.25%"

"Hi Nicole, I have chapter 2 (roughly about 20 pages) for editing, i.e., punctuation etc for your review. Are you still editing? Please advise."

Extracted Content from Question Files:

• 11[1].1+revised+on+sunday.doc

66. Young’s rule for determining the amount of a medicine dosage for a child is given by

C = a Aad12 where a is the childs age and d is the usual adult dosage, in milligrams
+

The dosage of a medication for a 5 year old child must stay between 50mg and 100 mg.
Find the equivalent adult dosage.

52. 2|2x – 7| + 11 = 25

106. | 3 x5− 2 | ≥ 1

7 −3 x
38. -4 ≤ ≤4
5

7 −3 x 7 −3 x
58. < -4 or >4
5 5

88. |5x + 2| ≤ 13

90. |7 – 2y| > 5

44. 4y – 3x ≥ -12 equation (1)
4y + 3x ≥ -36. equation (2)
y ≤ 0, equation (3)
x≤0 equation (4)