Question

solve this.........as soon as possible








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Answer 1

Answer:

Region ABCD is solution of given system of inequations

Solution---->

1) Plzz refer the attachment

2) First we take first inequation which is

3x + 2y ≤ 150

Now changing it in to equation, we get ,

3x + 2y = 150

Now putting y = 0 in it , we get,

=> 3x + 2 ( 0 ) = 150

=> x = 150/3

=> x = 50

Now putting x = 0 in it we get,

=> 3 ( 0 ) + 2y = 150

=> y = 150/2

=> y = 75

So line represent inequation ( 1 ) passes through ( 50 , 0 ) and ( 0 , 75 )

Now we satisfy inequation by ( 0 , 0 )

3 ( 0 ) + 2 ( 0 ) ≤ 150

=> 0 ≤ 150

Its true so solution of given inequation is area which contain origin

3) Similarly we can find solution of other inequation and by plotting we get required area which is common and this region is solution of given set of inequation