You're right; your reviewer is wrong.
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Anonymous"A student will not be accepted if he failed either Math or English"Suppose the student fails Math. According to your statement, he would not be accepted. It does not matter what grade he got in English.
AnonymousIn other words, the reviewer agrees that the student should not be accepted if he fails just English or if he fails just Math, but he feels that my sentence does not say that the student should not be accepted if he fails both.Your reviewer is not correct. Your original says that the student should not be accepted if one or more of the following is