Question

Solve the inequality. |x-4| <5

Answer 1

-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!

Answer 2

The answer to your question is: -1