Question
Express the following sets in roster form:
J = {x: x e N and 2x – 3 ≤17}

Answer


$\begin{aligned} & 2 x-3 \leq 17 \\ & \Rightarrow 2 x \leq 17+32 x \leq 20 \\ & \Rightarrow x \leq \frac{20}{2} \\ & x \leq 10 \\ & \therefore J=\{1,2,3,4,5,6,7,8,9,10\}\end{aligned}$

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