Chapter 0.12, Problem 11E

To determine

To find: The linear inequality among the given options related to given graphs.

Answer to Problem 11E

Option D is correct.

Explanation of Solution

Given information:

The graph

  

Calculation:

Consider the inequality $2y-3x\ge -2$

Consider any two points in the solution set verify the solution is either true or false.

  $\begin{array}{l}2y-3x\ge -2\\ (0,0)\Rightarrow 0\ge -2\text{ true}\\ \text{(-2,0)}\Rightarrow \text{0+6}\ge -2\\ 6\ge 2\text{ true}\end{array}$

The other remaining inequalities do not satisfy the points.

Hence, the given graph is the solution of the inequality $2y-3x\ge -2$

Option D is correct.