How it Worked

"Monday" <> "Thursday" is true, but "August" <> "August" is false, so the logical expression is false and the false branch of the IF statement is executed:

' Admission Checker
'
PRINT "What day is it"
INPUT DAY$  <--- gets the string "Monday"
PRINT "What month is it"
INPUT MONTH$ <--- gets the string "August"

IF DAY$ <> "Thursday" AND MONTH$ <> "August" THEN
   ------ true -----     ----- false ------
         ----------- false ---------
  PRINT "Charge Admission"   
ELSE
  PRINT "Free Day"   <--- false branch is executed
END IF
'
END