By applying the Reduction ad Absurdum approach, the product of 3/5 and 4 is not greater than 4.
How to prove a statement
According to logics, a proposition is a mathematical expression who owns a truth value.In this question we must prove mathematically the truthfulness of a given statement, represented by the proposition "The product of 3/5 and 4 is greater than 4".
Herein we apply the Reductio ad Absurdum approach, in which we assume initially that the proposition is true and then we apply algebraic properties until absurd is found and it is concluded that proposition is false. Since it contains elements from the real algebra, then we must use algebraic procedures to prove it.
Let suppose that 3/5 · 4 > 4, then by modulative property and the existence of multiplicative inverse we infer that (3/5) · 4 > 4 · (5/5) and if we multiply each side by 5, then the resulting expresion is 12 > 20, which is an absurdity.
By applying the Reduction ad Absurdum approach, the product of 3/5 and 4 is not greater than 4.
To learn more on propositions, we kindly invite to check this verified question: https://brainly.com/question/14789062
