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Exercise 3.7. Just as intersection and union have close algebrazc ties to multiplication and addition, the complement operation has close ties to the action of multiplying by1. For instance, just as (-1) (-1)a a for any number a, we have that A A for all sets A. Another more interesting way in which these operations are similar is the following: Recall that if a and b are numbers, then a<b

In other words, multiplying both sides of an inequality by1 requires us to flip the inequality sign (or equivalently, flipping the numbers around the inequality sign). Using Venn Diagrams, convince yourself that A and B are sets, then B CA

Please draw a venn diagram for A and B.

math   Statistics-And-Probability   
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Salah m Bu

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