Question

Find the union of each of the following pairs of sets. (a) M = {x : x is natural number and multiple of 3};N = {x : x is a prime number less than 19}(b) D = {x : x is an integer -3 < x < 3}; E = {x : x is a factor of 8}

Answer 1

(a) M = {x : x is natural number and multiple of 3}

M = { 3,6,9,12,15,..}

N = {x : x is a prime number less than 19}

N = { 2,3,5,7,11,13,17 }

M U N = { 3,6,9,12,15,..} U { 2,3,5,7,11,13,17 }

= { 2,3,5,6,7,9,11,12,13,15,17,18,21,...}

(b) D = {x : x is an integer -3 < x < 3}

D = { -2,-1,0,1,2 }

E = {x : x is a factor of 8}

E = { 1,2,4,8 }

D U E = { -2,-1,0,1,2 } U { 1,2,4,8 }

= { -2,-1,0,1,2,4,8 }

•••♪