QQuestionMathematics
QuestionMathematics
Is (0,0) a solution to this system?
y ≥ x^2 + x − 4
y > x^2 + 2x + 1
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Answer
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Step 1:I'll solve this step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Check the first inequality y \geq x^{2} + x - 4
- $$0 \stackrel{?}{\geq} -4
- Substitute the point (0,0): - This is true because 0 is greater than - 4
Step 3:: Check the second inequality y > x^{2} + 2x + 1
- $$0 \stackrel{?}{>} 1
- Substitute the point (0,0): - This is false because 0 is not greater than 1
Step 4:: Conclusion
- The point (0,0) satisfies the first inequality - The point (0,0) does NOT satisfy the second inequality
Final Answer
No, (0,0) is NOT a solution to this system of inequalities.
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