Solve `5xlt24 " when " (i) x inN,(ii) x inZ.`
In each, case, represent the solution set on the number line.

Explanation

`5xlt24rArr xlt(24)/(5)`
`rArr x lt 4.8.`
(i) Solution set `={x in N:xlt4.8}`
On the number line, we may represent it as shown below.

The darkened circle indicate the natural numbers contained in the set.
(ii) Solution set `={ x inZ:xlt4.8}`
`={4,3,2,1,0-1,-2,-3,...}`
`={...,-3,-2,-1,0,1,2,3,4}`.
On the number line, we may represent it as shown below.

The darkened circles show the integers contained in the set and three dark shots above the left part of the line show that the negative integers are contained idefinitely.