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.
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.