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Which of the following points lie in the solution set to the following system of inequalities?

y > −3x + 3
y > x + 2

(2, −5)

(−2, 5)

(2, 5)

(−2, −5)

Respuesta :

mathssydney
(2, 5) only


choose 3d 
mominetti

Answer:

Hi!

The correct answer is (2,5).

Step-by-step explanation:

To find which ordered pair is in the solution set of the system of inequalities:

  • y > −3x + 3
  • y > x + 2

you have to replace the values into the system and both results have to be true.

For ordered pair (2,5) where x=2, and y=5.

  • y > −3x + 3  
  • 5 > -3(2) + 3 // replace the values
  • 5 > -6 + 3
  • 5 > -3  is TRUE.

AND

  • y > x + 2
  • 5 > 2 + 2
  • 5 > 4 is TRUE.

Correct answer: (2,5)

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