Solve the inequation 3x - 11 < 3, where x ∈ {1, 2, 3, ………., 10}. Also represent its solution on number line.

Given,

$3x-11 \lt 3 \\[0.5em] \Rightarrow 3x-11 + 11 \lt 3 + 11 \\[0.5em] \Rightarrow 3x \lt 14 \\[0.5em] \Rightarrow x \lt \dfrac{14}{3} \\[0.5em] \Rightarrow x \lt 4.66$

But x ∈ {1, 2, 3, ……….,, 10}

∴ Solution Set = {1, 2, 3, 4}.

The graph of the solution set is shown by thick dots on the number line.