Chapter 6.5, Problem 23HP

To determine

To calculate: The inequality represented in the table.

Answer to Problem 23HP

Therefore, an inequality will be $(y-1)\ge \frac{1}{2}(x-4)$ .

Explanation of Solution

Formula Used: The line inequality

  $(y-y_1)\ge \frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$

Calculation: $x$ and $y$ are two variables represented in the table,

Let the general form of inequality will be,

  $\begin{array}{l}(y-y_1)\ge \frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)\\ (y-1)\ge \frac{(-1-1)}{(0-4)}(x-4)\\ (y-1)\ge \frac{1}{2}(x-4)\end{array}$

Therefore, an inequality will be $(y-1)\ge \frac{1}{2}(x-4)$ .