The following C++ main driver makes use of a C++ structure Cint that models closed number intervals on the real line. Math review: The closed number interval [a,b] = {x | a < x < b}.

Write the C++ definitions of the structure Cint and the functions readCint, dispCint, midpt, upperInt, inIt that manipulate closed intervals in this driver.

See the sample run of this driver, below, to see the output generated.

int main()

{

Cint I,IU;

float x;

I = readCint();

cout << "Interval = ";

dispCint(I);

cout << "Interval midpoint = " << midpt(I) << endl;

IU = upperInt(I);

cout << "Upper half interval = ";

dispCint(IU);

cout << "Enter a number: ";

cin >> x;

if (inIt(x,I))

cout << x << " is in the interval ";

else

cout << x << " is not in the interval ";

dispCint(I);

return 0;

}

Here is output from a sample run of the program (user input in bold):

Enter lower limit: 2

Enter upper limit: 8

Interval = [2,8]

Interval midpoint = 5

Upper half interval = [5,8]

Enter a number: 9

9 is not in the interval [2,8]