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Solve the following inequations : (a) ...

Solve the following inequations :
(a) `5x -3 lt 12, X in N` (b) `2x -4 lt 4, x in R` (c) `3x -1 ge 5, x in Z`

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(a) `5x -3 le 12, X in N`
`rArr 5x le 15 rArr le 3`
`rArr x in {1, 2, 3}`
(b) `2x -4 lt 4, x in R`
`rArr 2x lt 8 rArr x lt 4`
The set of all the numbers which are less than 4 is the solution set of the given inequation
(c) `3x -1 ge 5, x in Z`
`rArr 3x ge 6 rArr x ge 2`
The set of all the integers which are greater than or equal to 2 is the solution set of the given in equation
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