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
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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) (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) (Show Source): You can put this solution on YOUR website!
, so:
, or
 < \frac{7}{4}\ \ \Rightarrow\ \ -x < \frac{7}{4} + 4 \ \ \Rightarrow\ \ -x < \frac{23}{4} \ \ \Rightarrow\ \ x > \frac{-23}{4})
(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
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