A linear inequality in one variable can be written in the form ax + b < 0, ax + b s 0, ax + b > 0, or ax + b z 0. The set of all numbers that make the inequality a true statement is its solution set, represented using interval notation. Solving a Linear Inequality 1. Simplify each side. 2. Collect variable terms on one side and constant terms on the other side. 3. Isolate the variable and solve. If an inequality is multiplied or divided by a negative number, the direction of the inequality symbol must be reversed.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A linear inequality in one variable can be written in the form
ax + b < 0, ax + b s 0, ax + b > 0, or ax + b z 0. The set
of all numbers that make the inequality a true statement is its
solution set, represented using interval notation.
Solving a Linear Inequality
1. Simplify each side.
2. Collect variable terms on one side and constant terms on
the other side.
3. Isolate the variable and solve.
If an inequality is multiplied or divided by a negative number,
the direction of the inequality symbol must be reversed.
Transcribed Image Text:A linear inequality in one variable can be written in the form ax + b < 0, ax + b s 0, ax + b > 0, or ax + b z 0. The set of all numbers that make the inequality a true statement is its solution set, represented using interval notation. Solving a Linear Inequality 1. Simplify each side. 2. Collect variable terms on one side and constant terms on the other side. 3. Isolate the variable and solve. If an inequality is multiplied or divided by a negative number, the direction of the inequality symbol must be reversed.
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