anonymous
  • anonymous
Which of the following points is in the solution set of y > -x^2 + 5? a) (0, 5) b) (1, 3) c) (2, 4)
Mathematics
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anonymous
  • anonymous
Which of the following points is in the solution set of y > -x^2 + 5? a) (0, 5) b) (1, 3) c) (2, 4)
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
You have to test the left-hand side and the right-hand side to see if your statement is true. If it is, then your point is in the solution set. So, for example, the first point has\[LHS=y=5\]and \[RHS=-(0)^2+5=5\]Since the left-hand side is NOT greater than the right-hand side (5 is equal to 5, not greater than 5), the point (0,5) is not in the solution set (if, in your problem statement, you meant to write 'greater than or equal to', then the point would be in the solution set - I'm assuming you mean a strict inequality).

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