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The inequality x4+1<-5has no solution. Explain why.

Short Answer

Expert verified

Because x4+1is always positive.

Hence, the given inequality has no solutions.

Step by step solution

01

Given information

The given inequality isx4+1<-5

02

Determine the solution of the given inequality,

x4always satisfies the inequality x40.

Example: -1·-1·-1·-1=1

So, x4+10.

03

Write the conclusion

x4+10 is always positive

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