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

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!