JEE MATHEMATICS MCQ: FUNCTIONS

1 Hard

1 of 1

Analyzing +4 | -1

Let

A=\{x \in \mathbb{R}:[x+3]+[x+4] \leq 3\}

B=\left\{x \in \mathbb{R}: 3^{x}\left(\sum\limits_{{r=1}}^{\infty} \frac{3}{10^{r}}\right)^{x-3}<3^{-3 x}\right\}

, where

[t]

denotes greatest integer function. Then,

View answer and explanation

Correct option: D

A=B

Option D (A=B) is correct because both sets A and B are equal to the interval (-

\infty

, -1) after simplification.

More Questions from FUNCTIONS

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}