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38 votes
38 votes
Solve the inequality. |x-4| <5

User Govind Mantri
by
3.1k points

2 Answers

21 votes
21 votes

Answer:

-1<x<9

Explanation:

To solve this problem, we have to apply the absolute rule.

If |u|<a,a>0 then -a<u<a

x-4>-5 and x-4<5

x>-1 and x<9

The final step would be to merge overlapping intervals.

The answer would be -1<x<9.

Hope this helps!

User Walter Sun
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2.3k points
26 votes
26 votes
The answer to your question is: -1
User Floating Cat
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2.6k points