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JEE MATHEMATICS MCQ: SET THEORY

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Let S={x∈[−6,3]−{−2,2}:∣x+3∣−1∣x∣−2≥0}S=\left\{x \in[-6,3]-\{-2,2\}: \frac{|x+3|-1}{|x|-2} \geq 0\right\} and T={x∈Z:x2−7∣x∣+9≤0}T=\left\{x \in \mathbb{Z}: x^2-7|x|+9 \leq 0\right\}. Then the number of elements in S∩TS \cap T is
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Correct option: D
3
Option D is correct because by solving the inequalities for S and T, we find that the intersection S ∩ T contains 3 elements.

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