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15-02-2017
Mathematics

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Prove: If C⊂A and D⊂B then D−A⊂B−C

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LammettHash LammettHash

15-02-2017

Let [tex]x\in D\setminus A[/tex], so that [tex]x\in D[/tex] but [tex]x\not\in A[/tex]. Since [tex]D\subset B[/tex], it follows that [tex]x\in B[/tex], and since [tex]C\subset A[/tex], it follows that [tex]x\not\in C[/tex], which means [tex]x\in B\setminus C[/tex].

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