Question 878971
Let's check all 3 inequalities


The point (0,3) means x = 0, y = 3


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Checking y > -1



y > -1


3 > -1 ... plug in y = 3



The last inequality is true.


So (0,3) is a solution to y > -1


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Checking 2x+y < 10



2x+y < 10


2(0)+3 < 10 ... plug in x = 0, y = 3


0 + 3 < 10


3 < 10



The last inequality is true.


So (0,3) is a solution to 2x+y < 10


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Checking y <= 3/2x+3



y <= 3/2x+3


3 <= (3/2)(0)+3


3 <= 0 + 3


3 <= 3



The last inequality is true.


So (0,3) is a solution to y <= 3/2x+3


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Since each inequality is true when x = 0 & y = 3, the point (0,3) is a solution to all three inequalities.