SOLUTION: Ok, I am having a hard time trying to figure out this problem any help would be greatly appreciated. Thank you. Solve the following inequality. Write the answer in interval n

Algebra ->  Absolute-value -> SOLUTION: Ok, I am having a hard time trying to figure out this problem any help would be greatly appreciated. Thank you. Solve the following inequality. Write the answer in interval n      Log On


   



Question 182584: Ok, I am having a hard time trying to figure out this problem any help would be greatly appreciated. Thank you.

Solve the following inequality. Write the answer in interval notation. Note: If the answer includes more than one interval write the intervals separated by the "union" symbol, U.
Problem :
4|x+4|-1<6




Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following inequality. Write the answer in interval notation. Note: If the answer includes more than one interval write the intervals separated by the "union" symbol, U.
Problem :
4|x+4|-1<6
-------------------
4|x+4| < 7
|x+4| < 7/4
-7/4 < x + 4 < 7/4
-4-7/4 < x < -4+7/4
-23/4 < x < -9/4
-------------
Interval notation:
(-23/4, -9/4)
=======================
Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!







, so:

, or



(Note the sense change on the inequality after multiplying by -1)

Therefore the solution set interval is



Notice that the interval endpoints are indicated with parentheses rather than square brackets. The original inequality symbol was < rather than meaning the endpoints are excluded.



John