A student showed the steps below while solving the inequality Ix-4I <= 1by graphing.
Step 1: Write a system of equations y1 = Ix-4I<= 1
Step 2: Graph the two equations:
graph picture
Step 3: Identify the values of x for which y1 <= y2: X=3 or x=5
Step 4: Write the solution in interval notion:
(-infinity, 3)u(5, infinity)

What is the first step in which the student made an error?

THE ANSWER IS:
Step 3, because the value for x for which y1 <= y2 also include values between 3 and 5.

Aschool typically sells 500 yearbooks each year for 50 dollars each. the economic calls does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. the revenue for yearbook sales is equal to the number of yearbooks sold times the price of the yearbook. let x represent the number of $5 decrease in price. if the expression that represents the revenue is written in the form r(x)=(500+ax)(50-bx). to maximize profit, what price should the school charge for the yearbooks? what is the possible maximum revenue? if the school attains the maximum revenue, how many yearbooks will they sell?

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