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Graph the solutions of a single inequality on a number line and express the solutions using interval notation. Graph the solutions of a compound inequality on a number line, and express the solutions using interval notation. An algebraic inequality, such as , is read “ is greater than or equal to .”
- 7.9: Introduction to Inequalities and Interval Notation
Graph the solutions of an inequality on a number line and...
- 7.9: Introduction to Inequalities and Interval Notation
In this explainer, we will learn how to solve simple and compound linear inequalities and how to express their solutions using interval notation. Before we begin discussing solving inequalities over the real numbers, we should recall the properties and methods of solving inequalities over the rational numbers.
13 wrz 2024 · Here we explain how our inequality to interval notation calculator works: For the interval to inequality mode, pick the interval type and enter the endpoints in the appropriate fields of the calculator. The result - the inequality corresponding to your interval - will appear underneath.
12 sie 2024 · Graph the solutions of an inequality on a number line and express the solutions using interval notation. An algebraic inequality, such as x ≥ 2 x ≥ 2, is read “ x x is greater than or equal to 2 2.” This inequality has infinitely many solutions for x x. Some of the solutions are 2, 3, 3.5, 5, 20, 2, 3, 3.5, 5, 20, and 20.001 20.001.
Let's see how to be precise about this in each of three popular methods: With Inequalities we use: Like this: Says: "x less than or equal to 20" And means: up to and including 20. In "Interval Notation" we just write the beginning and ending numbers of the interval, and use: Like this: Means from 5 to 12, do not include 5, but do include 12.
Use interval notation to indicate all real numbers greater than or equal to -2 −2. Answer: Use a bracket on the left of -2 −2 and parentheses after infinity: \left [-2,\infty \right) [−2,∞). The bracket indicates that -2 −2 is included in the set with all real numbers greater than -2 −2 to infinity.
Another commonly used, and arguably the most concise, method for describing inequalities and solutions to inequalities is called interval notation. With this convention, sets are built with parentheses or brackets, each having a distinct meaning.
