Chapter 6, Problem 27CR

To determine

To solve:The given system of inequalities $4y<-3x$ ; $y<\frac{-3}{4}x$ .

Answer to Problem 27CR

The common shaded region of the graphs of inequalities shown in Figure-1 is the solution of inequalities $4y<-3x$ and $y<\frac{-3}{4}x$ .

Explanation of Solution

Given information:

The given system of inequalities is $4y<-3x$ ; $y<\frac{-3}{4}x$

Concept used:

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

Graph:

The graphs of inequalities $4y<-3x$ and $y<\frac{-3}{4}x$ are shown in Figure-1 here.

  

Interpretation: The common shaded region of the graphs of inequalities shown in Figure-1 is the solution of inequalities $4y<-3x$ and $y<\frac{-3}{4}x$ . Since both the inequalities are same so the there is no double shaded region here.

Conclusion:

The common shaded region of the graphs of inequalities shown in Figure-1 is the solution of inequalities $4y<-3x$ and $y<\frac{-3}{4}x$ .