Considering the definition of an inequality, the number must be less than 12.
An inequality is the existing inequality between two algebraic expressions, connected through the signs:
An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
In this case, you know that the difference of a number and 4 is no more than 8.
Being "x" the number you want to know, and considering that the difference is the difference between two numbers or expressions, the inequality that expresses the previous relationship is
x - 4 < 8
Solving:
x < 8 +4
x < 12
Finally, the number must be less than 12.
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