   Chapter 4.4, Problem 96E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# True or False? In Exercises 91–96, determine whether the statement is true or false given that f (x) = ln x. If it is false, explain why or give an example that shows it is false.If f ( x ) < 0 , then 0 < x < 1 .

To determine

Whether the statement “If f(x)<0, then 0<x<1” is true or false for the given function f(x)=lnx and also give a reason or an example in support of the answer.

Explanation

Given Information:

The provided function is f(x)=lnx and the provided statement is “If f(x)<0, then 0<x<1”.

Consider the provided function, f(x)=lnx

Consider the graph of f(x)=lnx,

It can be seen that as 0<x<1, the value of f(x)=lnx is less than 0.

Now, check the value of f(x) for the value of x in the range of 0<x<1.

Compute the value of f(x) by substituting x=0.25 in the above function as,

f(x)=lnxf(0.25)=ln(0.25)1

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