Write the complement of {x:x belong to N and x is divisible by 3 and 5}.

1 thought on “Write the complement of {x:x belong to N and x is divisible by 3 and 5}.”

1. U= N: Set of natural numbers

   (i) {x:xis an even natural number}

   ′

   ={x:x is an odd natural number}

   (ii) {x:xis an odd natural number}

   ′

   ={x:xis an even natural number}

   (iii) {x:x is a positive multiple of 3}

   ′

   ={x:x∈N and x is not a multiple of 3}

   (iv) {x:xis a prime number}

   ′

   ={x:xis a positive composite number and x=1}

   (v) {x:xis a natural number divisible by 3 and 5}

   ′

   ={x:xis a natural number that is not divisible by 3 or 5}

   (vi) {x:xis a perfect square}

   ′

   ={x:x∈Nand x is not a perfect square}

   (vii) {x:xis a perfect cube}

   ′

   ={x:x∈Nand x is not a perfect cube}

   (viii) {x:x+5=8}

   ′

   ={x:x∈Nand x

   

   =3}

   (ix) {x:2x+5=9}

   ′

   ={x:x∈Nandx

   

   =2}

   (x) {x:x≥7}

   ′

   ={x:x∈Nandx<7}

   (xi) {x:xϵNand2x+1>10}

   ′

   ={x:x∈Nandx≤

   2

   9

   }

   Reply