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Algebra 2
Found in: Page 149
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

Solve each system of inequalities by graphing.


The solution of the inequalities is-y+1xy+3.

See the step by step solution

Step by Step Solution

Step-1 – Concept of solution of linear inequalities

The solution of linear inequalities can be obtained by changing the inequalities into equations and solving the linear equations to obtain a graph. Then the common shaded region is a solution of the inequalities.

Step-2 – Concept of shading the region of the inequalities

The shaded region obtained by choosing a point, if the point satisfies the inequality the region is along the point, if not satisfies the inequalities, then the shaded region is opposite to the point.

Step-3 – Solving the inequalities

The given inequalities are-:


The linear equation of the inequalities is-:


The point which satisfies the equation y=x-3 are (0,-3)and(3,0).

The point which satisfies the equation y=-x+1 are (0,1) and(1,0).

Step-4 – Evaluating the shading region

We choose (0,0)then the point (0,0) satisfies the inequality yx-3 but it does not satisfy the inequality y-x+1.

Step-5 – Plotting the graph

So, the graph of the inequality is

The common region is -y+1xy+3

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