The assertion in the question is false. The result of a multiplication depends on the values.
Given two numbers X and Y,
if X < 0 and if Y < 0 then X*Y is greater than either;
if X > 1 and if Y > 1 then X*Y is greater than either;
if X < 0 and if Y > 1 then X*Y is smaller than either;
if X > 1 and if Y < 0 then X*Y is smaller than either;
if 0 < X < 1 and if 0 < Y < 1 then X*Y is smaller than either;
If X < 0 and if 0 < Y < 1 then X*Y is greater than X but smaller than Y;
If 0 < X < 1 and if Y > 1 then X*Y is greater than X but smaller than Y;
If 0 < X < 1 and if Y < 0 then X*Y is smaller than X but greater than Y;
If X > 1 and if 0 < Y < 1 then X*Y is smaller than X but greater than Y.
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