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We prove this by method of contradiction. suppose I = I = {XER la in irrational} Let us have its measure zero. Now , zero 9 we know that on the set of all rationals & have measure as it is countable & countable sits has its measure zero, Note, R = IUB, and I & 8 have meas are zero union of two measure zoro sets is of measure zero, ) IR has its measure zero, which is a contradiction. so I 2{xtR la in irrational} does not have measure zero. Thank You e
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