Prove by induction that
(1 +x)**n ≥ 1 + nx
i have never seen a induction question set up like this before ... could i get some assistance please
im confused as to how to use both n and x in the question
You are using a notation that is not standard for many mathematicians. This was already mentioned in response to one of your previous posts. Standard notation to indicate an exponent is ^, not **. Your posts will be easier for the general community to read if you try to learn LaTeX (and use [tex][/tex] or $\$\$$ tags) or use notation that is more familiar to most mathematicians.
For your question, I assume that can be any real number, and is a positive integer. Start with the base of induction:
Note: if , then it is still true for all , as for all .
Assume it is true for all positive integers up to some value . Then try to show that . Hint: .