Question
Solve 2(x – 3)< 1, x ∈ {1, 2, 3, …. 10}
✓
Answer
$
\begin{aligned}
& 2(x-3)<1 \\
& \Rightarrow x-3<\frac{1}{2} \\
& \Rightarrow x<\frac{1}{2}+3 \\
& \Rightarrow x<3 \frac{1}{2}
\end{aligned}
$
But $x \in\{1,2,3 . . . .10\}$
Solution set $=\{1,2,3\}$
\begin{aligned}
& 2(x-3)<1 \\
& \Rightarrow x-3<\frac{1}{2} \\
& \Rightarrow x<\frac{1}{2}+3 \\
& \Rightarrow x<3 \frac{1}{2}
\end{aligned}
$
But $x \in\{1,2,3 . . . .10\}$
Solution set $=\{1,2,3\}$
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