Question

Given that the universal set,$\xi =$ {x : 1 < x < 12 and x is an integer} and the sets P = {x : x is a prime number}, Q = {x : x is a multiple of 4} and R = {2, 3, 8, 9} the elements of the set $(Q\cup R{)}^{\prime }\cap P$ are:

• A. {2, 3}
• B. {2, 3, 5}
• C. {5, 7, 11}
• D. {1, 5, 7, 11}

Answer 1

The correct option is C {5, 7, 11}

$Q=\{4,8\};$ $P=\{2,3,5,7,11\}$;

$Q\cup R=\left\{\mathrm{2.3.4.8.9}\right\}$

$(Q\cup R{)}^{\prime }=\{5,6,7,10,11\}$

$(Q\cup R{)}^{\prime }\cap P=\{5,7,11\}$