What is the system of inequalities associated with the following graph? 3x + y ≥ -3 x + 2y ≤ 4 -3x – y ≥ -3 x + 2y ≤ 4 3x + y ≥ -3 x – 2y ≥ 4 3x – y ≤ 3 x – 2y ≥ 4

One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3

and slope m =

So the equation of line will be

And the inequality should be

Or

And the other line passes through (-2,3) and (0,2)

So the y intercept is b=2

and the slope is

So the equation of line will be

Or

So answer is

there are no short passages to look at

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.