Question

Mathematical Modeling If the solution to an inequality includes all the values that are in between two values, how can you show that on a number line?

Answer 1

Let

x -----> the number of cups

so

`\begin{gathered} x\ge1\text{ and} \\ x\leq4 \\ 1\leq x\leq4 \\ \\ \end{gathered}`

The solution is the interval {1,4}

In a number line the solution is the shaded area at right of x=1 (closed circle) and at left of x=4 (closed circle)