How do you solve |x - 9| + 3< 15?

1 Answer
Parabola
Dec 12, 2017

-3<x<21

Explanation:

First, we isolate|x-9| .
Therefore, |x-9|+3<15 now becomes |x-9|<12.
Now, we ask ourselves: is the variable side larger or the number side?

If the variable side is larger, that means the answer to this inequality is a disjunction.

If the number is larger, that means the answer is a conjunction.

Since the number side is larger, we know that this is a conjunction. Therefore, we now have -12<x-9<12
We add 9 to all of them to get:
-3<x<21
That is our answer!

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