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Chapter 3: Q21. (page 147)

21: Solve each system of inequalities by graphing.

y鈮�4y>-3

Short Answer

Expert verified

The solution is-3<y鈮�4.

Step by step solution

01

Step-1 – Concept of solution of linear inequalities

The solution of the inequalities can be obtained by changing the inequalities into equations and solving the linear equations.

02

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.

03

Step-3 – Evaluation of solution

The two inequalities are y鈮�4and y>-3.

The linear equations of the respective inequalities are y=4andy=-3.

04

Step-4 – Shading the region

We choose (0,0)then the point (0,0) satisfies the inequality y鈮�4 as well asy>-3.

05

Step-5 – Plotting the graph

So, the shaded region can be plotted as

The inequality represents the shaded region is-3<y鈮�4

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Most popular questions from this chapter

13(x+5)=56

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Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent.

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Solve each system of equations.

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