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MCQMediumJEE Main 2023 · 6 April, Shift 1Sets & Operations

Mathematics Question from JEE Main 2023 · 6 April, Shift 1

Let AA = {x∈R:[x+3]+[x+4]≤3}\{x \in \mathbb{R} : [x+3] + [x+4] \le 3\} and BB = {x∈R:3x(∑r=1∞310r)x−3<3−3x}\left\{x \in \mathbb{R}: 3^{x}\left(\sum_{r=1}^{\infty}\frac{3}{10^{r}}\right)^{x-3} < 3^{-3x}\right\}, where [t][t] denotes the greatest integer function. Then:

  • A

    A⊂B,A≠BA \subset B, A \ne B

  • B

    A∩B=∅A \cap B = \varnothing

  • C

    A=BA = B

  • D

    B⊂A,A≠BB \subset A, A \ne B

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