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18 May, 21:44

A car manufacturer builds trucks and cars both in red, blue, and green colors. Let B represent the set of all red vehicles produced by the manufacturer and let C represent the set of all trucks produced by the manufacturer. If all of the vehicles below are produced by the manufacturer, which could be in the set (B∩C') ?

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  1. 18 May, 21:55
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    Step-by-step explanation:

    The universal set, U is a set of all vehicles produced by the manufacturer.

    U = red, blue and green vehicles (both cars and trucks)

    B = all red vehicles produced by the manufacturer (both cars and trucks)

    C = red, blue and green trucks

    C ' = all elements that are not in C but are in the universal set

    C ' = red, blue and green cars

    B intersection C ' = all elements that are common to set B and set C '. Therefore,

    B intersection C ' = red cars
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