An outer measure μ^* satisfies a property called “subadditivity”, viz.: μ^* big (∪ⱼ₌₁ ᪲A_j big )<∑ⱼ₌₁ ᪲μ^*(A_j). If the less-than-or-equal sign were replaced with an equal sign then the property would be “additivity” instead.
Source: wiktionary
Subadditivity
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