Question

Find the set of values of x, satisfying:

`7x + 3 >= 3x - 5` and `x/4 - 5 <= 5/4 -x`, where x ∈ N

Answer 1

`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}