Question

Explain why $6 < x < 2$ has no solution.

Name: Problem 39, Chapter 1: Intermediate Algebra
Uploaded: 2020-06-21T12:31:11-08:00
Duration: 42 s
Channel: Ankit Gupta
Description: Explain why 6 < x < 2 has no solution.

   Explain why $6 < x < 2$ has no solution.

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 1, Problem 39

Instant Answer

Solved by Expert Ankit Gupta

06/21/2020

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We get $6 < x$ and $x < 2$. Show more…

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Explain why $6 < x < 2$ has no solution.

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Key Concepts

Compound Inequalities

Compound inequalities involve combining two or more inequality statements that must all be satisfied simultaneously. They usually express that a variable must lie within a certain range, where every part of the range is required to be true at the same time.

Contradictory Conditions

A contradiction in an inequality occurs when the conditions imposed on a variable are mutually exclusive, meaning that they cannot all be satisfied at the same time. In the inequality provided, the requirement that the variable be greater than a number that is also required to be less than a smaller number highlights that no value can meet both conditions, rendering the inequality unsolvable.

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