JEE Main 20236 Apr, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let 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,AOption A. B⊂C,A≠BB \subset C,A \ne BB⊂C,A=BBOption B. A⊂B,A≠BA \subset B,A \ne BA⊂B,A=BCOption C. A=BA = BA=BDOption D. A∩B=ϕA \cap B = \phiA∩B=ϕCheckSkip · show solution
