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Math Help - Let m be Lebesgue measure on the real line, and suppose that A and B are measurable

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    Let m be Lebesgue measure on the real line, and suppose that A and B are measurable

    Hi everyone,
    Let m be Lebesgue measure on the real line, and suppose that A and B are measurable subsets of the closed interval [0,1]. how do you show that if m(A)=m(B)=1, then m(A∩B)=1
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    Quote Originally Posted by Kelles View Post
    Let m be Lebesgue measure on the real line, and suppose that A and B are measurable subsets of the closed interval [0,1]. how do you show that if m(A)=m(B)=1, then m(A∩B)=1
    m(A) + m(B) = m(A∪B) + m(A∩B)
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