Question

lita sees a sign that says you must be more than inches tall to ride a roller coaster. she writes the inequality as $h > 48$. how can she graph the solutions of the inequalit \bigcirc plot an open circle at 48 and shade left. \bigcirc plot a closed circle at 48 and shade left. \bigcirc plot an open circle at 48 and shade right. \bigcirc plot a closed circle at 48 and shade right.

Explanation:

Step1: Analyze the inequality type

The inequality is \( h > 48 \). The "greater than" symbol (\(>\)) means the value \( 48 \) is not included in the solution set, so we use an open circle at \( 48 \) (a closed circle is used for \( \geq \) or \( \leq \) to include the boundary value).

Step2: Determine the shading direction

For \( h > 48 \), we want all values of \( h \) that are greater than \( 48 \). On a number line, greater values are to the right of a given point. So we shade to the right of the open circle at \( 48 \).

Answer:

Plot an open circle at 48 and shade right.