Let u = {1, 2, 3, 4, 5, 6, 7, 8}, a = {4, 8, 6}, b = {1, 2, 5, 4}, and c = {3, 5, 1}. find the following. (enter your answers as a comma-separated list. enter empty for the empty set.) a ∩ (b ∩ c)

= EMPTY

Step-by-step explanation:

The intersection of two sets is the set that contains every element that is in both of those sets.

Because of the (), initially we are going to solve .

B = {1, 2, 5, 4}

C = {3, 5, 1}

The elements that are in both B and C are 1 and 5, so:

Now we do

A = {4, 8, 6}

There are no elements that are in each of those sets, so the result of the intersection of these sets is the empty set;

= EMPTY

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.