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  • Find the linear inequalities for which the shaded region in the given figure is the solution set.

Find the linear inequalities for which the shaded region in the given figure is the solution set.

Answers (1)

Let us consider, 3x + 2y = 48

Now, from the graph we can say that the constraint 3x+2y\leq 48 is satisfiedsince the shaded region and the origin are on the same side of the line

Now, we will consider,

x + y = 20

Again, the graph we can say that the constraint x+y\leq 20 is satisfied since the shaded region & the origin are on the same side of the line

We know that,

In the first quadrant shaded region is x\geq 0 & y\geq 0 ,

Thus, the linear inequalities will be,

3x+2y\leq 48

x+y\leq 20

x\geq 0

& y\geq 0
 

Posted by

infoexpert22

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