P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subset of the universal set ξ = {1, 3, 7, 9, 11, 13, 15} find PI ∩ QI

Assessment: WAEC SSCE - General Mathematics - 2005 (Objective) Subject: General Mathematics

Question 1 Report

P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subset of the universal set ξ = {1, 3, 7, 9, 11, 13, 15} find P^I ∩ Q^I

{3, 9}

{5, 7, 9}

{1}

{1, 11}

Answer Details

First, let's find P^I, which is the complement of P in ξ: P^I = ξ \ P = {1, 7, 15} Similarly, Q^I = ξ \ Q = {1, 11, 13} The intersection of P^I and Q^I is the set of elements that are in both sets. In this case, the intersection is: P^I ∩ Q^I = {1} Therefore, the answer is option (C) {1}.

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