This graph shows the solutions to the inequalities y > x-2 and y< x-10.Does the system of inequalities have solutions? If so, which region containsthe solutions?

This graph shows the solutions to the inequalities y gt x2 and ylt x10Does the system of inequalities have solutions If so which region containsthe solutions class=

Respuesta :

We are given the solution graph of the following inequation system:

[tex]\begin{gathered} y>\frac{3}{2}x-2 \\ y<\frac{3}{2}x-10 \end{gathered}[/tex]

We need to have into account that a system of inequalities has a solution where the graph of their solutions intercepts. If the graph does not intercept then there is no solution. In the given case, the graph of both inequalities do not intercept, therefore there is no solution.