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Chapter 3: Q2. (page 128)

Solve each system of inequalities. Sketch each graph on a sheet of paper.

y鈮�-2xy鈮�-3

Short Answer

Expert verified

The shaded region is the solution of the given inequations, which is unbounded.

Step by step solution

01

Step-1 –Apply the concept of linear equation to solve the linear inequation.

For, y=-2x

Ifx=0, theny=0.

Ifx=1, theny=-2.

Ifx=2, then y=-4.

鈭�The points are 0,0,1,-2 and 2,-4.

For, y=-3

Since, the line is parallel to x-axis which intersect the y-axis at -3.

02

Step-2–Plot the point on the graph paper and form a region of each inequation

03

Step-3–Identifying the common region

Since, the solution of y=-2xis away from the origin and the solution of y=-3is also away from the origin. Therefore, the shaded region is the common region that is the solution of inequation.

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