Answered: Graph the solution set of the system x…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.7: Graphs Of Inequalities

Problem 6SC

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Question

Graph the solution set of the system x - y < 1, 2x + 3y ≥ 12.

Expert Solution

Step 1

We have the given system of linear inequalities as

$\begin{array}{rcl} x - y & < & 1 \dots \dots (1) \\ 2 x + 3 y & \geq & 12 \dots \dots (2) \end{array}$

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. In order to find solutions of the system, shade the half-plane that satisfies the inequality and finally the region which is the intersection of the half-planes.

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