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9\left(-4\right)-\left(3\times 1\right)^{2}<-1
Multiply 3 and 3 to get 9.
-36-\left(3\times 1\right)^{2}<-1
Multiply 9 and -4 to get -36.
-36-3^{2}<-1
Multiply 3 and 1 to get 3.
-36-9<-1
Calculate 3 to the power of 2 and get 9.
-45<-1
Subtract 9 from -36 to get -45.
\text{true}
Compare -45 and -1.