Writing and Graphing One-Variable Inequalities

It is given that the tallest man who ever lived was approximately $8$ feet and $11.1$ inches. This means that the height, $h,$ of every other person must be less than this. Therefore, we can write the following inequality: $h<8 \text{ ft } 11.1 \text{ in.}$ Since there are $12$ inches in $1$ foot we can express the inequality in feet as follows. $h<8+ \dfrac{11.1}{12} \text{ ft} \quad \Leftrightarrow \quad h<8.925 \text{ ft}$

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