What is the complete proof for INCLUSION-EXCLUSION FORMULA and BOOLE'S INEQUALITY? Step by Step Solutions. The BOOLE'S INEQUALITY that I meant was both: π(π΄1 βͺ π΄2 βͺ β¦ βͺ π΄π ) β€ π(π΄1 ) + π(π΄2 ) + β― + π(π΄π) or π(β π΄π π π=1 ) β€ β π(π΄π) π π=1 . π(π΄1 βͺ π΄2 βͺ β¦ βͺ π΄π ) β₯ π(π΄1 ) + π(π΄2 ) + β― + π(π΄π) or π(β π΄π π π=1 ) β₯ β π(π΄π) π π=1 .
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