spere079 spere079
  • 26-01-2024
  • Mathematics
contestada

Is (–1, –4) a solution to this system of inequalities?

y > 3x − 3
y < –10x − 1

Respuesta :

jimrgrant1 jimrgrant1
  • 26-01-2024

Answer:

yes

Step-by-step explanation:

To determine if (- 1, - 4 ) is a solution to the system.

substitute the x- coordinate into the right side of both inequalities and compare the result with the left side.

3x - 3 = 3(- 1) - 3 = - 3 - 3 = - 6

and y (- 4) > - 6 ← true

- 10x - 1 = - 10(- 1) - 1 = 10 - 1 = 9

and y (- 4 ) < 9 ← true

The point (- 1, - 4 ) satisfies both inequalities and is a solution

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