Kindly answer this question without any links or hints :
Which of the following points belong to the region represented by the inequations 2x - 3y ≥ 5 and x - 2y ≤ 3 ?
1. (3,0)
2. (-4,-4)
3. (3,-5)
4. (2,-2)
5. (5,1)

Dear student,
We have,2x-3y5 and x-2y3Putting 3,0 in both inequations, we get65 and 33 which is true.Putting -4,-4 in both inequations, we get45 and 43 which is false.Putting 3.-5 in both inequations, we get215 and 133 which is false.Similarly put (2,-2) and (5,1).And Hence
Points (3,0) and (5,1) belongs to the region represented by the inequalities 2x-3y5 and x-2y3 as these both points are satisfying the inequalities.

Regards

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