This question already has an answer here:
I realised that what I took as terseness of my question, actually made it look like a lazy attempt to get a homework answer. The following is the edited question, hopefully up to the standards of this great community.
I am in process of self-studying analysis using Spivak's calculus. The book is amazing, but the answers for problems are very brief, sometimes not sufficient for my limited knowledge. In this problem, I am interested in the mechanics of obtaining the reduced inequality (i.e. x
Find all values of x for which:
$\ 3^x+x < 4 $
I managed to find the answer (x<1) using "brute-force", i.e. pondering what values of x would satisfy the equation, and obtaining the result without manipulating the formula, but my curiosity remains unsatisfied so as to the issue of how to manipulate this simple inequality to reduce it to solution.