Answer:
-2<x<3
or x∈(-2,3)
Step-by-step explanation:
x²-5x<-6
add (-5/2)² i.e.,25/4
x²-5x+25/4<-6+25/4
(x-5/2)²<(-24+25)/4
(x-5/2)²<1/4
(x-5/2)²<(1/2)²
|x-5/2|<1/2
-1/2<x-5/2<1/2
Add 5/2
-1/2+5/2<x-5/2+5/2<1/2+5/2
A is correct
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