How do you solve and write the following in interval notation: #|x - 4| <12#?
We have to cosider
This is, because of the Defn. of the Absolute Value Fun. :
Case (1) :
Case (2) :
Here, since, "|x-4|=-(x-4)=4-x, so, |x-4| < 12 rArr 4-x <12.#
This is written, in the Interval Notation, as
A very quick Soln. can easily be obtained, if we use the