Absolute Value Inequality

dajanney

New member
Joined
Sep 8, 2010
Messages
1
Typical adult garter snakes range in length from 46 to 130 centimeters. Write an absolute value inequality that represents the range of lengths of adult garter snakes.

I set this up as:
Ix + 46I <= 130

If x is a negative number, then the answer is less than 130, but not necessarily >= 46. How do you write the equation to be >=46 AND <=130?
 
dajanney said:
Typical adult garter snakes range in length from 46 to 130 centimeters.
Write an absolute value inequality that represents the range of lengths of adult garter snakes.

I set this up as:
Ix + 46I <= 130

If x is a negative number, then the answer is less than 130, but not necessarily >= 46.
How do you write the equation to be >=46 AND <=130?

You want the average of these numbers, 88\displaystyle 88.

46x130\displaystyle 46 \le x \le 130

It is a distance of 42\displaystyle 42 away from those two extremes.

8842x88+42\displaystyle 88 - 42 \le x \le 88 + 42

42x8842\displaystyle -42 \le x - 88 \le 42


x8842\displaystyle \boxed{|x - 88| \le 42}
 
Top