Question

Find the smallest value of x for which `5 - 2x < 5 1/2 - 5/3x`, where x is an integer.

Answer 1

`5 - 2x < 5 1/2 - 5/3x`

`-2x + 5/3x< 11/2 - 5`

`(-x)/3 < 1/2`

`-x < 3/2`

`x > (-3)/2`

x > –1.5

Thus, the required smallest value of x is –1.