Solve the inequation `3x - 8 lt -2` and represent the solution on the number line when
(i) `x in R `(ii) `x inZ`
(iii) `x in N.`

Answer

N/a

Explanation

`3x - 8 lt - 2`
`rArr 3x lt - 2 + 8`
`rArr 3x lt 6`
`rArr x lt(6)/(3)`
`rArr x lt 2`
(i) If x`in` R, then solution set = `(-infty, 2)`
If can be representede on real line as follows:

(ii) If x `in Z. , then solution set = {... -3,-2, -1, 0, 1}`.
It can be represented on number line as follows:

(iii) If x `in` N, then solution set = `{1}`.
If can be represent on number line as follows: