If $$ y $$ is a real number greater than 1 , which of the following must be true for the value of $$ y^{-2} $$ ?

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To analyze the expression $$ y^{-2} $$ given that $$ y $$ is a real number greater than 1, we can follow these steps: 1. **Understanding the expression**: The expression $$ y^{-2} $$ can be rewritten using the property of exponents: $$ y^{-2} = \frac{1}{y^2} $$ 2. **Analyzing $$ y^2 $$**: Since $$ y > 1 $$, squaring $$ y $$ will also yield a value greater than 1: $$ y^2 > 1 $$ 3. **Finding $$ y^{-2} $$**: Since $$ y^2 > 1 $$, we can substitute this into our expression for $$ y^{-2} $$: $$ y^{-2} = \frac{1}{y^2} < 1 $$ 4. **Conclusion**: Therefore, we can conclude that if $$ y $$ is a real number greater than 1, then $$ y^{-2} $$ must be less than 1. Thus, the statement that must be true for the value of $$ y^{-2} $$ is: $$ y^{-2} < 1 $$ If $$ y $$ is a real number greater than 1, then $$ y^{-2} $$ must be less than 1.

If is a real number greater than 1 , which of the following must be true for the value of ?

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