Chapter 4: Q. 4.113 (page 467)

Solve the system by graphing:
$\{\begin{cases} 3 x - 2 y \geq 12 \\ y \geq \frac{3}{2} x + 1 \end{cases}$

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

Step 1. Given information

The given system of inequalities are:

$\{\begin{cases} 3 x - 2 y \geq 12 \\ y \geq \frac{3}{2} x + 1 \end{cases}$

Step 2. Graph the inequality 3x-2y≥12

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

The graph is given as:

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

We will graph the inequality by graphing $y \geq \frac{3}{2} x + 1$ on 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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Solve the system by graphing:
$\{\begin{cases} 3 x - 2 y \geq 12 \\ y \geq \frac{3}{2} x + 1 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the inequality 3x-2y≥12

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

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Solve the system by graphing:3x−2y≥12y≥32x+1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the inequality 3x-2y≥12

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Pure Maths

Mechanics Maths

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Solve the system by graphing:
$\{\begin{cases} 3 x - 2 y \geq 12 \\ y \geq \frac{3}{2} x + 1 \end{cases}$