Question

The average body temperature of a lemming is 98.6 degrees Fahrenheit. The

Answer 1

Answer:

$|x - 98.6| > 1.5$

Step-by-step explanation:

Given

Temperature = 98.6F

Range = 1.5F

Required

Write the absolute value inequality

Let the temperature be represented by x

We start by writing an expression for the difference between x and 98.6.

This can be written as x - 98.6

From the question, we understand that this difference is more than 1.5F

Representing this using absolute value inequality; we have

$|x - 98.6| > 1.5$

Solving further; this gives

$x - 98.6 > 1.5$ or $x - 98.6 < -1.5$

Make x the subject of formula in both cases

$x >98.6 +1.5$ or $x < 98.6-1.5$

$x >100.1$ or $x < 97.1$

This can be rewritten as

$x >100.1$ or $97.1>x$

Combining these two inequalities;

$97.1 > x > 100.1$

Hence;

The absolute inequality is  $|x - 98.6| > 1.5$

And the range of value is $97.1 > x > 100.1$