Which graph shows the solution to this system of inequalities?
y>-1/3x+1
y>2x-3

Given:

The system of inequalities is:

To find:

The graph of the given system of inequalities.

Solution:

We have,

The related equations are:

Table of values for the given equations is:

   0                             1                              -3

   3                             0                              3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of .

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of .

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

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