Write the following in symbolical form (set-builder form) :
(i) Set of all even natural numbers
(ii) Set of roots of the equation `3x^(2)-5x-2=0`
(iii) Set of all positive integers greater than 3 and smaller than 8
(iv) Set of alphabets of the word 'ENGLISH'.

Answer

(i) {x : x is an even natural number}
(ii) `{x:x " is a root of the equation "3x^(2)-5x=0}`
(iii) `{x:x" is a positive integer and"3 lt x lt 8}`
(iv) {x : x is a letter of the word ENGLISH }