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If A = {a, b, c, d, e, f}, B = {a, c, f, g} and C = {a, d, e, g, h}then (A ∩ C) ∪ B =1. {a, b, c, d, e, g}2. {a, b, c, e, f, g}3. {a, b, d, e, f, g}4. {a, c, d, e, f, g} |
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Answer» Correct Answer - Option 4 : {a, c, d, e, f, g} Given: A = {a, b, c, d, e, f} B = {a, c, f, g} C = {a, d, e, g, h} Concept used: A ∩ B is the intersection of two sets that contain only the elements that are in both sets. A ∪ B is the union of two sets that contain all the elements contained in either set (or both sets). Calculation: (A ∩ C) = {a, d, e} ⇒ (A ∩ C) ∪ B = {a, c, d, e, f, g} Hence, option 4 is correct. |
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