Chapter 9

Dawn buys a 27 -oz box of cereal. The possible error in this amount, however, is \(\pm 0.5\) oz. Let \(c\) represent the range of values for the amount of cereal in the box. Write an absolute value inequality to represent the range for the number of ounces of cereal in the box, then solve the inequality and explain the meaning of the answer.

Emmanuel spent \(\$ 38\) on a birthday gift for his son. He plans on spending within \(\$ 5\) of that amount on his daughter's birthday gift. Let \(b\) represent the range of values for the amount he will spend on his daughter's gift. Write an absolute value inequality to represent the range for the amount of money Emmanuel will spend on his daughter's birthday gift, then solve the inequality and explain the meaning of the answer.

An employee at a home-improvement store is cutting a window shade for a customer. The customer wants the shade to be 32 in. wide. If the machine's possible error in cutting the shade is \(\pm \frac{1}{16}\) in, write an absolute value inequality to represent the range for the width of the window shade, and solve the inequality. Explain the meaning of the answer. Let w represent the range of values for the width of the shade.