Chapter 12.1, Problem 42STP

To determine

To Identify : To find which inequality equation describe the given graph.

Answer to Problem 42STP

The inequality equation $y<\frac{2}{3}x-1$

Explanation of Solution

Given information: Consider the inequality graph as follows:

  

Calculation : By analyzing the shaded part and dotted line, it is seen that slope of line is $\frac{2}{3}$ and y intercept is -1. So, the equation $y=\frac{2}{3}x-1$ .

Also, the border is dotted line with area shaded below the line.

Therefore, the inequality which describes the graph is $y<\frac{2}{3}x-1$ .