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Natasha2012 [34]
2 years ago
6

Which ordered pair is a solution to the following system of inequalities?

Mathematics
1 answer:
PtichkaEL [24]2 years ago
3 0

Answer: (0,-1)

Step-by-step explanation:

Let's start with the first inequality, y < -x^{2}+x. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.

  • A) -1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}
  • B) 1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}
  • C) -3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}
  • D) -6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}

Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).

  • A) -1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}
  • C) -3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}

Therefore, the answer is <u>(A) (0, -1)</u>.

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