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Chapter 3: Q7. (page 128)

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

6y+4x鈮�125y-3x鈮�-10

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.

We have,

6y+4x=12.

Ify=0, thenx=3.

Ifx=0, theny=2.

Ify=2, then x=0.

鈭�The points are 3,0,0,2and 0,2.

For, 5y-3x=-10.

Ifx=0, theny=-2.

Ifx=5, theny=1.

If y=4, then x=10.

鈭�The points are 0,-2,5,1and 10,4.

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 6y+4x鈮�12is away from the origin and the solution of 5y-3x鈮�-10is also away from the origin. Therefore, the shaded region is the common region that is the solution of inequation.

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