Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Writing and Graphing Inequalities
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Exercise 47 Page 60

1 foot equals 12 inches.

Inequality: l<4800
Graph:

Practice makes perfect
It is given that the length of the world's longest natural arch is 400 feet. This means that the length of any other arch is less than 400 feet. If we let l represent the length of any other arch, we can express this statement as an inequality. l< 400 ft Knowing that 1 foot = 12 inches, we can form a conversion factor. We will use it later to convert 400 feet into inches. 12 in/1 ft By multiplying 400ft by this conversion factor, we can convert the full arch length from feet to inches.
400 ft* 12 in/1 ft
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Simplify
400 ft * 12 in/1 ft
400 ft * 12 in/1 ft
400 * 12 in/1
400 * 12 in
4800 in
By replacing 400 feet with 4800 inches, we have our final answer. l< 4800 in To graph this inequality, we will place an open circle at 4800 as l cannot equal 4800. Since l is smaller than 4800, we have to shade everything to the left of this circle.