Makakuha ng mga sagot ng eksperto sa iyong mga tanong sa IDNStudy.com. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.
Answer:
Wyzant
SOLVING ABSOLUTE VALUE INEQUALITIES
Silvia V. asked • 08/30/16
A number is more than 9 units from 3
i would like to know how to make an inequality
Follow1
Add comment
More
1 Expert Answer
By:
Best
Arturo O. answered • 08/30/16
TUTOR 5.0 (66)
Experienced Physics Teacher for Physics Tutoring
SEE TUTORS LIKE THIS
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.
Step-by-step explanation:
sana makatulong po