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Chapter 3: Q6. (page 128)

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

2.y+3x鈮�6y-2x鈮�9

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+3x=6

Ify=0, thenx=2.

Ifx=0, theny=6.

Ifx=3, then y=-3.

鈭�The points are 2,0,0,6 and 3,-3.

For, y-2x=9

For, x=-2

Ifx=-2, theny=5.

Ifx=-3, theny=3.

Ifx=-4, then y=1.

鈭�The points are -2,5,-3,3 and -4,1.

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+3x鈮�6is away from the origin and the solution of y-2x鈮�9is towards the normal. Therefore, the shaded region is the common region that is the solution of inequation.

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