Let {r1, x2, ..., rn} CR be a subset of real numbers. Prove that (*1 +...

Transcribed Image Text:

Let {r1, x2, ..., rn} CR be a subset of real numbers. Prove that (*1 + x2 + .+In)² < n(x² + x3 + + x) ... Hint: take square roots, write the LHS as a dot product of two vectors, and use the Cauchy-Schwarz incquality. Let {r1, x2, ..., rn} CR be a subset of real numbers. Prove that (*1 + x2 + .+In)² < n(x² + x3 + + x) ... Hint: take square roots, write the LHS as a dot product of two vectors, and use the Cauchy-Schwarz incquality.