Question

please solve this inequality for x

Answer 1

We have,

   2x - 4/x - 2 ≥ 0             and            (x - 5) ≤ 0 
⇒  2x - 4 ≥ 0(x - 2)         and             x ≤ 5
⇒  2x - 4 ≥0                 
⇒  2x ≥ 4
⇒ x ≥ 2

∴ x = {2,3,4,5}

Answer 2

(2x-4)/(x-2)≥0

(2x-4)≥x-2

x≥2
Given that,
(x-5)≤0

x≤5
Hence x≥2 and x≤5.
Therefore we can say that 'x' is the value from 2 to 5