Chapter 3.4, Problem 3CB

To determine

To solve: given inequality using tiles to model.

Answer to Problem 3CB

  $n\ge 4$

Explanation of Solution

Given information:

Given inequality,

  $2n-5\ge 3$

Calculation:

Consider the following inequality,

  $2n-5\ge 3$

Consider each big tile as a variable $n$ , each gray light shaded tile as positive number and deep gray shaded tile as negative number. Therefore,

An inequality model for the inequality $2n-5\ge 3$ will be,

Solve the inequality:

  $2n-5\ge 3$

Add 5 both sides.

  $\begin{array}{c}2n-5+5\ge 3+5\\ 2n\ge 8\end{array}$

Divide both sides by 2.

  $\begin{array}{c}\frac{2n}{2}\ge \frac{8}{2}\\ n\ge 4\end{array}$

Hence,

  $n\ge 4$