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Chapter 4: Q. 83 (page 243)

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 x4鈮�0.

Example: -1路-1路-1路-1=1

So, x4+1鈮�0.

03

Write the conclusion

x4+1鈮�0 is always positive

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Most popular questions from this chapter

In Problems 57鈥� 62, find the real zeros of f. If necessary, round to two decimal places.

f(x)=x4-1.4x3-33.71x2+23.94x+292.41

The concentration C of a certain drug in a patient's bloodstream t hours after injection is given by

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Part (a): Find the horizontal asymptote of Ct. What happens to the concentration of the drug as t increases?

Part (b): Using your graphing utility, graph C=Ct.

Part (c): Determine the time at which the concentration is highest.

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role="math" localid="1646067091231" xn+cn if n鈮�1 is an odd integer

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