Write the following sets in roster from.
(i) The set of all natural number less than 7.
(ii) The set of all integer which are multiple of 6.
(iii) The set of all solution of `x^(2)+2x-3=0`
(iv) The set of all natural number 'x' such that `4x+9 lt 50`

Explanation

(i) The natural number less than 7 are 1,2,3,4,5,6
`therefore` The given set can be written in roaster form as {1,2,3,4,5,6}
(ii) The integers which are multiple of 6 are
……, -12, -6,0,6,12,-18…..
`therefore` The given set can be written in roaster form as
{....., -12,-6,0,6,12,18,....}
(iii) The given equation can be written as
(x+3)(x-1)=0
i.e., x=-3,1
`therefore` The solution set of the given equation can be written in roaster form as {,-3,1}
(iv) `4x+9 lt 50`
`Rightarrow 4x lt41`
`Rightarrow x lt (41)/(4)`
`Rightarrow x lt 10.25`
`therefore` x is a natural number so, it can have values 1,2,3,4,5,6,7,8,9,10
`therefore` The given set can be written as {1,2,3,4,5,6,7,8,9,10}.