1. Suppose that AU B = A. Prove that BC A. Show that AU (An B) = A. (Hint: to prove one of the inclusions, you will need to do something with an x € AU (An B). At that point, try splitting your proof...

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1. Suppose that AU B = A. Prove that BC A.<br>Show that AU (An B) = A.<br>(Hint: to prove one of the inclusions, you will need to do something with an x € AU (An B). At<br>that point, try splitting your proof into cases depending on which part of the union r comes from.)<br>

Extracted text: 1. Suppose that AU B = A. Prove that BC A. Show that AU (An B) = A. (Hint: to prove one of the inclusions, you will need to do something with an x € AU (An B). At that point, try splitting your proof into cases depending on which part of the union r comes from.)

Jun 04, 2022

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1. Suppose that AU B = A. Prove that BC A. Show that AU (An B) = A. (Hint: to prove one of the inclusions, you will need to do something with an x € AU (An B). At that point, try splitting your proof...

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