49,810 views
36 votes
36 votes
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 > x-2 and y< x-10.Does-example-1
User Gnutt
by
3.1k points

1 Answer

7 votes
7 votes

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


\begin{gathered} y>(3)/(2)x-2 \\ y<(3)/(2)x-10 \end{gathered}

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.

User Siva Charan
by
2.8k points