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\frac{0x+0}{0\times 2}-1<\frac{0\times 3x+0\times 2}{0\times 3}
Multiply 0 and 1 to get 0. Multiply 0 and 5 to get 0.
\frac{0+0}{0\times 2}-1<\frac{0\times 3x+0\times 2}{0\times 3}
Anything times zero gives zero.
\frac{0}{0\times 2}-1<\frac{0\times 3x+0\times 2}{0\times 3}
Add 0 and 0 to get 0.
\frac{0}{0}-1<\frac{0\times 3x+0\times 2}{0\times 3}
Multiply 0 and 2 to get 0.
\frac{0}{0}-1<\frac{0x+0}{0\times 3}
Multiply 0 and 3 to get 0. Multiply 0 and 2 to get 0.
\frac{0}{0}-1<\frac{0+0}{0\times 3}
Anything times zero gives zero.
\frac{0}{0}-1<\frac{0}{0\times 3}
Add 0 and 0 to get 0.
\frac{0}{0}-1<\frac{0}{0}
Multiply 0 and 3 to get 0.
\frac{0}{0}-1-\frac{0}{0}<0
Subtract \frac{0}{0} from both sides.
-1<0
Subtract \frac{0}{0} from \frac{0}{0} to get 0.
\text{true}
Compare -1 and 0.