Chapter 6, Problem 30CR

To determine

To solve:The given system of inequalities $y<10x$ , $y>x-5$ .

Answer to Problem 30CR

All the points of the double shaded region shown in Figure-1 are the solutions of inequalities $y<10x$ and $y>x-5$ .

Explanation of Solution

Given information:

The given system of inequalities is

  $y<10x$

  $y>x-5$ .

Concept used:

The common shaded region (or double shaded region) of the graph of inequalities is the solution of the system of inequalities.

Graph:

The graphs of inequalities $y<10x$ and $y>x-5$ are shown in Figure-1 here.

  

Interpretation: The common shaded region (double shaded region) of the graphs of inequalities shown in Figure-1 is the solution of inequalities $y<10x$ and $y>x-5$ .

All the points of the double shaded region are the solutions of inequalities $y<10x$ and $y>x-5$ .