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En los problemas 7 a 14, escriba la desigualdad usando notación de intervalos, y a continuación grafique el intervalo. $-2 \leq x \leq 4$

   En los problemas 7 a 14, escriba la desigualdad usando notación de intervalos, y a continuación grafique el intervalo.
 $-2 \leq x \leq 4$

Precálculo con avances de cálculo

Precálculo con avances de cálculo

Dennis G. Zill, José… 5th Edition

Chapter 1, Problem 13

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The inequality $-2 \leq x \leq 4$ can be written in interval notation as $[-2, 4]$. Show more…

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En los problemas 7 a 14, escriba la desigualdad usando notación de intervalos, y a continuación grafique el intervalo. $-2 \leq x \leq 4$

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Key Concepts

Interval Notation

Interval notation is a concise way of writing subsets of the real number line by using brackets and parentheses to denote whether endpoints are included or excluded. It transforms the inequality into a compact form that represents all the numbers within a given range.

Closed Intervals

Closed intervals are intervals that include their endpoints, indicated by square brackets. They are used in inequalities where the endpoints are part of the solution set, as seen in the use of ? or ?.

Inequalities

Inequalities express the relative size or order of two values. They are used to show that one value is either greater than, less than, or equal to another value within a certain range. In this context, it represents the range of values that x can take on.

Graphing on a Number Line

Graphing on a number line involves visually representing the set of real numbers that satisfy an inequality. This process entails marking the endpoints, using filled or closed circles for included endpoints, and shading or drawing a continuous line between these points to depict the interval.

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