dhruv solanki wrote:

Bunuel wrote:

Is \(3^x < x^3\)?

(1) \(3^x > 1\)

(2) \(0 < x < 1\)

what should be ideal approach for this question plugin or concept??

Hi..

you will agree any question done on concept is surely correct and increases your confidence level..

as here if you know -

x is negative :- 3^x will be <1... it in all probability will be a positive fraction AND x^3 will be negative

x is 0 :- 3^x will be 1 AND x^3 will be 0

and so x>0 will give you a value more than 3^0 or 1 AND x^3 is less than 1 if 0<x <1

so when you know these, you will be sure of answer..

OR you will have to plug three values - highest possible, lowest possible and something in middle and still can be in some doubt.

ofcourse if you do not know concept, go for substitution

substitution on the other hand is very effective in few cases

when you are asked for value of x in some equation and choices are given

in this question, suppose x=3 then it will be equal so is the information insufficient?