Question

If U = {a, b, c, d, e, f, g, h}, find the complement of the following sets :

(i) A = {a, b, c} (ii) B = {d, e, f, g}

(iii) C = {a, c, e, g} (iv) D = {f, g, h, a}

Answer 1

(i) $A^{\prime }$ = U - A

= {a, b, c, d, e, f, g, h} - {a, b, c}

= {d, e, f, g, h}

(ii) $B^{\prime }$ = U - B

= {a, b, c, d, e, f, g, h} - {d, e, f, g}

= {a, b, c, h}

(iii) $C^{\prime }$ = U - C

= {a, b, c, d, e, f, g, h} - {a, c, e, g}

= {b, d, f, h}

(iv) $D^{\prime }$ = U - D

= {a, b, c, d, e, f, g, h} - {f, g, h, a}

= {b, c, d,e}