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Chapter 3: Q8. (page 128)

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

8.14y-x鈮�-213y+2x鈮�4

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, 14y-x=-2.

Ifx=2, theny=0.

Ifx=3, theny=4.

Ifx=1, then y=-4.

鈭�The points are 2,0,3,4 and 1,-4.

For, 13y+2x=4.

Ifx=2, theny=0.

Ifx=3, theny=-6.

Ifx=1, then y=6.

鈭�The points are 2,0,3,-6 and 1,6.

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 14y-x=-2is towards the origin and the solution of 13y+2x=4is towards the origin. Therefore, the shaded region is the common region that is the solution of inequation.

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