Question

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

Name: Problem 40, Chapter 1: Intermediate Algebra
Uploaded: 2020-06-21T12:31:43-08:00
Duration: 35 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 40

Instant Answer

Solved by Expert Ankit Gupta

06/21/2020

Step 1

This inequality is saying that $x$ is greater than $6$ and at the same time, $x$ is less than $2$. Show more…

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

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Key Concepts

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.

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.

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