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Chapter 4: Q. 4.113 (page 467)

Solve the system by graphing:

3x鈭�2y鈮�12y鈮�32x+1

Short Answer

Expert verified

There is no solution to this system of inequalities as there is no common region between the inequalities in the below graph.

Step by step solution

01

Step 1. Given information 

The given system of inequalities are:

3x鈭�2y鈮�12y鈮�32x+1

02

Step 2.  Graph the inequality 3x-2y≥12 

We will graph 3x-2y鈮�12by graphing 3x-2y=12and the boundary will be a solid line because it contains greater than equal to sign.

The graph is given as:

03

Step 3. graph of the inequality y ≥ 32x + 1

We will graph the inequality by graphing y鈮�32x+1on the same cartesian plane and the boundary line will be solid since it contains greater than equal to sign.

The graph is given as:

There is no solution to this system of inequalities as there is no common region between the inequalities in the above graph.

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