Question Id : 13334 |
Context : JEE Main 2023 (6 April Morning Shift)
Let $A = \{x \in \mathbb{R} : [x + 3] + [x + 4] \le 3\}$,
and $B = \left\{ x \in \mathbb{R} : 3^x \left( \sum_{r=1}^{\infty} \frac{3}{10^r} \right)^{x - 3} < 3^{-3x} \right\}$,
where $[\,]$ denotes the greatest integer function.
Then,
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