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Sometimes we use algebra to prove results We can use the Axiom of the set of three numbers To prove all the result that we need. When we have to prove that something is less than something, like a is less than B with a some quantity and B, some quantity we can use algebra. In fact, we have axioms in R that let us find or prove these results. And sometimes we can use functions, we can construct a function that will help us find and prove this result. We now the axioms if a is less than B and B less than C than a is less than C. Also, we have a less than b and if we add some numbers of both sides, nothing is going to change. So nothing is going to change. Meaning that we can do some operations in adding to both sides without any change, This result with the fact that the square root preserves, the order of operation, we can use that to find our proof or result. In this case, This question helps us find and prove some inequalities that will be used in AP Calculus and in a praxis math 5161 to solve some trigonometric ideas And to solve some calculus questions.