Question 878971: for this point (0,3) which of these inequalities is a solution
y>-1,2x+y < 10, y <= 3/2x+3
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 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.
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