1) Para que valores reais de x o ponto P (3x -6, 2x +4) pertence ao 4º quadrante?
Accepted Solution
A:
Answer:There are no real values of x for point P to belong to the 4 quadrantStep-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 thatA point in the fourth Quadrant has the x-coordinate positive and the y-coordinate negativewe have the pointP (3x-6, 2x+4)[tex]3x-6 > 0[/tex] ----> inequality A ( x-coordinate must be positive)[tex]2x+4 < 0[/tex] ---> inequality B ( y-coordinate must be negative)Solve Inequality A[tex]3x-6 > 0[/tex] [tex]3x > 6[/tex] [tex]x > 2[/tex] -----> (2,∞)Solve Inequality B[tex]2x+4 < 0[/tex] [tex]2x < -4[/tex] [tex]x < -2[/tex] ----> (-∞,-2)The solution of the system is (-∞,-2) ∩ (2,∞)thereforeThe system has no solutionThere are no real values of x for point P to belong to the 4 quadrant