The average body temperature of a lemming is 98.6 degrees Fahrenheit. The temperature is considered abnormal if it is more than 1.5 degrees above or below that.
Write the absolute value inequality that represents this.

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

Solving further; this gives

or

Make x the subject of formula in both cases

or

or

This can be rewritten as

or

Combining these two inequalities;

Hence;

The absolute inequality is  

And the range of value is

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .