Question

1) Para que valores reais de x o ponto P (3x -6, 2x +4) pertence ao 4º quadrante?

Answer 1

Answer:

There are no real values of x for point P to belong to the 4 quadrant

Step-by-step explanation:

The question in English is

To what real values ​​of x does the point P (3x -6, 2x +4) belong to the 4th quadrant?

we know that

A point in the fourth Quadrant has the x-coordinate positive and the y-coordinate negative

we have the point

P (3x-6, 2x+4)

$3x-6 > 0$ ----> inequality A  ( x-coordinate must be positive)

$2x+4 < 0$ ---> inequality B ( y-coordinate must be negative)

Solve Inequality A

$3x-6 > 0$

$3x > 6$

$x > 2$  -----> (2,∞)

Solve Inequality B

$2x+4 < 0$

$2x < -4$

$x < -2$ ----> (-∞,-2)

The solution of the system is

(-∞,-2) ∩ (2,∞)

therefore

The system has no solution

There are no real values of x for point P to belong to the 4 quadrant