Question

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

Answer 1

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

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