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Test each character individually:

bool is_alphabetic (char* str) {

char c;

while ((c=*str++) != '\0') // read a character and advance to the next until c is the null-terminator

if ((c<'a' c>'z') && (c<'A' c>'Z')) return false; // c is a non-alphabetic character

return true; // all characters were within the range ['a':'z'] or ['A':'Z']

}

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