If x ∈ W, find the solution set of $\dfrac{3}{5} x - \dfrac{2x−1}{3} \gt$ 1. Also graph the solution set on the number line, if possible.

Given,

$\dfrac{3}{5}x-\dfrac{2x−1}{3} \gt 1\\[0.5em] \Rightarrow \dfrac{9x - 10x + 5}{15} \gt 1 \text{ [Taking LCM as 15]} \\[0.5em] -x + 5 \gt 15 \\[0.5em] \Rightarrow – x \gt 15 – 5\\[0.5em] \Rightarrow – x \gt 10\\[0.5em] \Rightarrow x \lt – 10\\[0.5em]$

But x ∈ W
Solution set = Φ
Hence it can't be represented on number line.