#include<iostream>
using namespace std;
int main()
{
char LtrGrade;
cout <<"Enter a letter grade: ";
cin>> LtrGrade;
switch (LtrGrade)
{
case "a":
case "A":
cout<<"\nExcellent";
break;
case "b":
case "B":
cout<<"\nSuperior";
break;
case "c":
case "C":
cout<<"\nAverage";
break;
case "d":
case "D":
cout<<"\nPoor";
break;
case "e":
case "E":
cout<<"\nTry Again";
break;
default:
 cout<<"\nNo match was found for the ENTRY"
 <<LtrGrade<<endl;
}
return 0;
}

Your cases are surrounded by double quotes. Replace the double quotes with single quotes:

#include<iostream>

using namespace std;

int main() {
    char LtrGrade;
    cout << "Enter a letter grade: ";
    cin >> LtrGrade;
    switch (LtrGrade) {
        case 'a':
        case 'A':
            cout << "\nExcellent";
            break;
        case 'b':
        case 'B':
            cout << "\nSuperior";
            break;
        case 'c':
        case 'C':
            cout << "\nAverage";
            break;
        case 'd':
        case 'D':
            cout << "\nPoor";
            break;
        case 'e':
        case 'E':
            cout << "\nTry Again";
            break;
        default:
            cout << "\nNo match was found for the ENTRY"
                 << LtrGrade << endl;
    }
    return 0;
}

Hope this helps!

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