Answer: Infinitely many solutions (ie set of all real numbers)
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Step-by-step explanation:
First we subtract 7 from both sides
|x - 14| + 7 > 4
|x - 14| + 7-7 > 4-7
|x - 14| > -3
Recall that absolute value is never negative. So the |x-14| will never dip below zero.
In other words, the smallest |x-14| can possibly get is 0.
Because 0 > -3 is always true, this means |x − 14| > -3 is always true for any x value you pick.
Therefore, there are infinitely many solutions. The x value can be any real number.