Question

express the set using the roster method.\
\\{x | x∈n and 10 < x ≤ 90\\}\
\
choose the correct answer below.\
a. \\{11, 12, 13, 14, …, 90\\}\
b. ∅\
c. \\{…, 8, 9, 10, 91, 92, 93, …\\}\
d. \\{10, 11, 12, 13, …, 90\\}

Explanation:

Step1: Identify set conditions

$x \in \mathbb{N}$ (natural numbers, positive integers), $10 < x \leq 90$

Step2: List valid elements

Start at 11 (since $x>10$) and end at 90

Answer:

A. {11, 12, 13, 14, ..., 90}