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Question
Find the set of values of x, satisfying:
`7x + 3 >= 3x - 5` and `x/4 - 5 <= 5/4 -x`, where x ∈ N
Solution
`7x + 3 >= 3x - 5`
`4x >= -8`
`x >= -2`
`x/4 - 5 <= 5/4 - x`
`x/4 + x <= 5/4 + 5`
`(5x)/4 <=25/4`
`x <= 5`
Since, x ∈ N
∴ Solution set = {1, 2, 3, 4, 5}
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