3. Solving Inequalities Using Multiplication or Division
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Let x be the number of copies we can afford.
Inequality: 0.25x ≤ 3.65
Number of Copies: 14
Let's start by translating the given information into algebraic symbols and operations. There are three key pieces of information we will use to find our solution.
at most
$3.65
$0.25
at mostcan be expressed as ≤. This symbol will be at the center of our inequality.
at mostis the budget, $3.65 This should be expressed on the right-hand side of the inequality. ... ≤ 3.75 We are also informed that each copy costs $0.25. If we multiply the cost per copy with the number of copies you buy x, the product should be less than or equal to the right-hand side of the inequality. 0.25x ≤ 3.65 To find the number of copies we can buy, we will solve the inequality by isolating the variable. Since we cannot buy a fraction of a copy, we have to round the number of copies down to 14.