Q:

30PTS HELP NEEDED NOWWhat system of linear inequalities is shown in the graph?Image included, don't waste my time.

Accepted Solution

A:
Answer:Step-by-step explanation:In order to determine the system of inequalities that have been graphed, we need to find the equations of the two lines. We can then use the equations to write the corresponding inequalities. The equation of this line is given by the formula, where m is the slope and c is the y -intercept.he equation of the line with a bold line:slope = ( 0 - ( -1 ) ) / ( ( 2 - 0 ) )= 1/2c = -1Therefore, y <= ( 1 / 2 ) x - 1The equation of the line with the dotted line:slope = ( 1 - ( - 2 ) ) / ( 0 - 1) = - 3c = 1Therefore, y < - 3x + 1r to determine the system of inequalities that have been graphed, we need to find the equations of the two lines. We can then use the equations to write the corresponding inequalities.The equation of this line is given by the formula,where m is the slope and c is the y -intercept.From the graph,andHence the equation of this line isSince the line is not solid it means the possible inequalities areFrom the graph one of the solution sets is the origin, which has coordinates,We can test the two inequalities with this point to determine the right one. That is,We can see that the first statement is true but the second is false.This implies that the right inequality is;With the solid line,the slope is andHence the equation is,Since this line is solid, the possible inequalities are;Testing with the origin again, we have;The second statement is true.Hence the inequaliy of the solid line is,Therefore the system of inequalities are;and