In this question P T (1+x)n = (1+nx) [for x -1] in answer, for - Maths - Principle of Mathematical Induction

Question

In this question P T (1+x)n >= (1+nx) [for x > -1]
in answer, for n=1 it came (1+x) >= (1+x) so how it's true?
recently I asked a question that whether 0>=0 and the expert
said that it's flase so how this statement is true clear my doubt

Shipra Dang · Accepted Answer

Dear Student,

1+xn≥1+nx for x>-1For n=11+x≥1+x is true

The symbol ≥means that the quantity on LHS should be
either greater or equal to the
quantity on RHS If any one of the condition is true then the
statement is true

Here,
1+x>1+x is false but 1+x=1+x is true
Therefore, 1+x≥1+x must be true
I hope this clears your doubt!
Regards,

In this question..P.T (1+x)n >= (1+nx) [for x > -1]...in answer, for n=1...it came.. (1+x) >= (1+x)....so how it's true?....recently I asked a question that whether 0>=0..and the expert said that it's flase...so how this statement is true...clear my doubt..

In this question..P.T (1+x)ⁿ >= (1+nx) [for x > -1]...in answer, for n=1...it came.. (1+x) >= (1+x)....so how it's true?....recently I asked a question that whether 0>=0..and the expert said that it's flase...so how this statement is true...clear my doubt..