Solve each inequality. 1<x+5<9

Name: Problem 46, Chapter 3: Understanding Elementary Algebra with Geometry
Uploaded: 2020-06-24T20:14:40-08:00
Duration: 21 s
Channel: Brandon Fox
Description: Solve each inequality. 1<x+5<9

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Key Concepts

Compound Inequalities

Compound inequalities involve two inequalities that are combined into a single statement, often by using 'and' or 'or'. This type of inequality requires finding values that simultaneously satisfy both conditions, and it is important to treat the inequality as one continuous statement when solving.

Addition Property of Inequalities

The addition property of inequalities states that if you add the same quantity to all parts of an inequality, the inequality's direction remains unchanged. This property is fundamental when isolating the variable in an inequality, as consistent operations on all sections maintain the overall relationship.

Isolating the Variable

Isolating the variable in an inequality involves manipulating the expression so that the variable stands alone on one part of the inequality. This process typically requires performing the same arithmetic operations on every part of a compound inequality, which simplifies the expression and helps determine the range of values for the variable.

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