Let A=\{x \in \mathbb{R}:[ {\x}+3]+[x+4] \leq 3\}, B= \{x \in \mathbb{R}: 3^x (\sum_{{r=1}}^{{\infty}} \frac{3}{10^x}) ^{x-3} < 3^{-3 x}\}, where [t] denotes greatest integer function. Then, [6-Apr-2023 shift 1]

{\A} \subset {\B}, {\A} \neq {\B}

{\B} \subset {\C}, {\A} \neq {\B}

JEE Mains 6-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 9 of 90

Marks: +1, -0

Let A={x∈ℝ:[x+3]+[x+4]≤3},
B={x∈ℝ:3x(

∞

∑

r=1

‌

10x

)x−3<3−3x}, where [t] denotes greatest integer function. Then,

[6-Apr-2023 shift 1]

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