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Quadratic Equation and Inequalities question

2023 · 6 Apr · Shift 1 · Q23

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2023 · 6 Apr · Shift 1 · Q23

Quadratic Equation and Inequalities question

2023 · 6 Apr · Shift 1 · Q23

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

A = \{ x \in R:[x + 3] + [x + 4] \le 3\} ,

B = \left\{ {x \in R:{3^x}{{\left( {\sum\limits_{r = 1}^\infty {{3 \over {{{10}^r}}}} } \right)}^{x - 3}} \lt {3^{ - 3x}}} \right\},

where [t] denotes greatest integer function. Then,

A
$B \subset C,A e B$
B
$A \subset B,A e B$
C
$A = B$
D
$A \cap B = \phi$

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