At this point in the posts, we will talk about sets as a collection of elements, which can be abstract or not. The abstract ones are those that are in the mathematical context, such as a set of odd integers, among others. The non-abstract ones are in everyday life, such as provinces in Japan, students at USP, among others. Representation of a set The representation of sets are given by capital letters such as:
Statistics is one of the most applied areas of mathematics, with greater use in everyday life. For centuries, it was used unconsciously by people as a merely descriptive character and a record of occurrences. The first uses The first activities were around 2000 BC and were used in the census of Chinese agricultural populations. At the beginning of the 19th century, great mathematicians entered the scene, for example, the Frenchman Simon Laplace and the German Carl Friedrich Gauss (1777 –1855). The latter arises with applications of the “normal distribution” for modeling measurement errors.
The intervals of the straight line or simply straight line remind us of the concept of continuity (continuous numbers). With natural numbers, for example, we cannot obtain this continuity, which we call discrete numbers. Be careful, there are different types of infinity. In this post, we will cover operations with ranges of real numbers. Ranges in discrete numbers Natural, integer or rational numbers are said to be countable or enumerable sets. When an interval is finite, we can also classify it into discrete intervals.
Open and closed doors on the straight Include and exclude endpoints. How do interval and inequality symbols change? Explore the controls and explain what changed in your own words. Ative o JavaScript para ver esta figura interativa. The intervals will be represented as a subset of the real numbers or better known as the straight line. These subsets are infinite, because no matter how many smaller intervals you take, they will still be infinite. Unlike the set of natural numbers or integers.
So far, we have only worked with equalities, in equations we work with scales, which is the notion of balance. In this post we will work with the opposite, that is, imbalance. Difference between equality and inequality To illustrate the notion of equality and inequality, look at the following sentences: Letícia is 2 years older than Alexandre (equality); Letícia is at least 2 years older than Alexandre (inequality). In this case, we have different meanings. Let $L$ be Letícia and $A$ be Alexandre, we can write the sentences as: