56.8k views
1 vote
A number is more than 9 units from 3.

2 Answers

4 votes
You must account for both the number being more than 9 units smaller than 3 and being more than 9 units larger than 3. To do that, you set the absolute value of the difference between the number and 3 greater than 9.

Let x be the number

|x - 3| > 9

Now solve for x.

Suppose x - 3 is positive. Then

x - 3 > 9 ⇒ x > 12

Suppose x - 3 is negative. Then |x - 3| = -(x - 3) = 3 - x

Then

3 - x > 9 ⇒ x < -6

These are the 2 possibilities.


Hope this helps
User Rockusbacchus
by
9.4k points
2 votes

Answer: It's either -6 or 12. I'm assuming it's 12 because it says "more than."

Explanation:

User Master Slave
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories