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Writing and Graphing One-Variable Inequalities

Writing and Graphing One-Variable Inequalities 1.9 - Solution

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a

It is given that the tallest man who ever lived was approximately 88 feet and 11.111.1 inches. This means that the height, h,h, of every other person must be less than this. Therefore, we can write the following inequality: h<8 ft 11.1 in. h<8 \text{ ft } 11.1 \text{ in.} Since there are 1212 inches in 11 foot we can express the inequality in feet as follows. h<8+11.112 fth<8.925 ft h<8+ \dfrac{11.1}{12} \text{ ft} \quad \Leftrightarrow \quad h<8.925 \text{ ft}

b

In order to graph h<8.925 h<8.925 we place an open dot, as the inequality sign is <<, at 8.9258.925 and then shade everything to the left of this point.