MathematicsMedium129×since 2002Q5064Let A={x∈R:[x+3]+[x+4]≤3},A = \{ x \in R:[x + 3] + [x + 4] \le 3\} ,A={x∈R:[x+3]+[x+4]≤3}, B={x∈R:3x(∑r=1∞310r)x−3<3−3x},B = \left\{ {x \in R:{3^x}{{\left( {\sum\limits_{r = 1}^\infty {{3 \over {{{10}^r}}}} } \right)}^{x - 3}} < {3^{ - 3x}}} \right\},B=⎩⎨⎧x∈R:3x(r=1∑∞10r3)x−3<3−3x⎭⎬⎫, where [t] denotes greatest integer function. Then,AB⊂C,A≠BB \subset C,A \ne BB⊂C,A=BBA⊂B,A≠BA \subset B,A \ne BA⊂B,A=BCA=BA = BA=BDA∩B=ϕA \cap B = \phiA∩B=ϕCheck answerSkip