Solving inequality ratio -2

Solving inequality ratio -2

(a+b)-(ab+1)
=a+b-ab-1
=(a-ab)+(b-1)
=a(1-b)-(1-b)
=(1-b)(a-1)
∵-2<a,b<1
∴1-b>0,a-1<0
∴(1-b)(a-1)<0
∴a+b<ab+1
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