# 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. | | ≥ 1

38. -4 ≤ ≤ 4

58. < -4 or > 4

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)

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#### Solution Preview

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.

A= 5

So the adult dosage is between 170 mg and 340 mg.

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

When , , the equation can be simplified as

When , the equation is

So the solution is x = 0 or x = 7.

106. | | ...

#### 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.