Chapter 11: Q. 26 (page 796)

Graph the system of inequalities. Tell whether the graph is bounded or unbounded, and label all corner points.
$\{\begin{cases} x \geq 0 \\ y \geq 0 \\ x + 2 y \geq 8 \\ 2 x - 3 y \geq 2 \end{cases}$

Short Answer

Expert verified

The graph is unbounded

Step by step solution

Step 1. Given information

A set of equations is given as

$\{\begin{cases} x \geq 0 \\ y \geq 0 \\ x + 2 y \geq 8 \\ 2 x - 3 y \geq 2 \end{cases}$

Step 2. Graphing conditions

After plotting the conditions on the graph,

The graph is extended to infinity therefore the graph is unbounded.

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Graph the system of inequalities. Tell whether the graph is bounded or unbounded, and label all corner points.
$\{\begin{cases} x \geq 0 \\ y \geq 0 \\ x + 2 y \geq 8 \\ 2 x - 3 y \geq 2 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graphing conditions

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Graph the system of inequalities. Tell whether the graph is bounded or unbounded, and label all corner points.x≥0y≥0x+2y≥82x-3y≥2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graphing conditions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

Graph the system of inequalities. Tell whether the graph is bounded or unbounded, and label all corner points.
$\{\begin{cases} x \geq 0 \\ y \geq 0 \\ x + 2 y \geq 8 \\ 2 x - 3 y \geq 2 \end{cases}$