Anumber r is no less than −1.5 and fewer than 9.5

The required inequality is:

The graph of the inequity is shown in figure 1.

Step-by-step explanation:

Consider the provided information.

Let the number is r.

The number r is no less than -1.5 means the value of r should be greater than or equal to -1.5. This can be written as:

A number r is fewer than 9.5 means the value of r should be smaller or less than 9.5, This can be written as:

Thus, the combined inequality is:

The graph of the inequity is shown in figure 1.

Use closed point at -1.5 as the sign of inequality is "≤" and use open point at 9.5 as the sign of inequality is <.

1/800 is the right answer

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.