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Chapter 3: Q3. (page 128)

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

y鈮�1-xy鈮�x+5

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,

y=1-x

Ifx=1, theny=0.

Ifx=2, theny=-1.

Ifx=0, then y=1.

鈭�The points are 1,0,2,-1and 0,1.

For, y=x+5

Ifx=1, theny=6.

Ifx=-2, theny=3.

Ifx=0, then y=5.

鈭�The points are 1,6,-2,3and 0,5.

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鈮�1-xis away from the origin and the solution of y鈮�x+5is towards the origin. Therefore, the shaded region is the common region that is the solution of inequation.

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