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Try It: Solving and Graphing and
To practice solving a compound inequality with "and", solve the inequalities and . Solving the first inequality gives , which simplifies to . Solving the second inequality yields , which simplifies to . Graphing both results shows that the intersection—the numbers making both true—is between and . The boundary is included while is not. In interval notation, this overlapping solution is written as .
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Intermediate Algebra @ OpenStax
Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
Algebra
Related
Solving Compound Inequalities
Intersection of Two Inequalities
Example: Graphing the Intersection of and
Procedure for Solving Compound Inequalities with "and"
Example: Solving and Graphing and
Try It: Solving and Graphing and
Try It: Solving and Graphing and
Union of Two Inequalities
Absolute Value Inequalities with or