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Quadratic Equation and Inequalities question

2022 · 28 Jul · Shift 2 · Q21
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  5. /2022 · 28 Jul · Shift 2 · Q21

Quadratic Equation and Inequalities question

2022 · 28 Jul · Shift 2 · Q21

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
 Let S={x∈[−6,3]−{−2,2}:∣x+3∣−1∣x∣−2≥0} and T={x∈Z:x2−7∣x∣+9≤0}. \text { Let } S=\left\{x \in[-6,3]-\{-2,2\}: \frac{|x+3|-1}{|x|-2} \geq 0\right\} \text { and } T=\left\{x \in \mathbb{Z}: x^{2}-7|x|+9 \leq 0\right\} \text {. } Let S={x∈[−6,3]−{−2,2}:∣x∣−2∣x+3∣−1​≥0} and T={x∈Z:x2−7∣x∣+9≤0}.  Then the number of elements in S∩T\mathrm{S} \cap \mathrm{T}S∩T is :
  1. A
    7
  2. B
    5
  3. C
    4
  4. D
    3
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