Complete the following direct proof of the statement: If x and y are positive real numbers and x < y, then x² < y². Hint: answer each blank with an expression. Type "x^2" for "x2". proof. Since Since Since x² < , multiply both sides of x < y by x yields , mutiply both sides of x < y by y yields <²₁x² < y².0

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Complete the following direct proof of the statement: If x and y are positive real numbers and x < y, then x² < y².
Hint: answer each blank with an expression. Type "x^2" for "x2".
proof.
Since
Since
Since x² <
Hint:
********
, multiply both sides of x < y by x yields
, mutiply both sides of x < y by y yields
< y²₁x² < y².0
Transcribed Image Text:Complete the following direct proof of the statement: If x and y are positive real numbers and x < y, then x² < y². Hint: answer each blank with an expression. Type "x^2" for "x2". proof. Since Since Since x² < Hint: ******** , multiply both sides of x < y by x yields , mutiply both sides of x < y by y yields < y²₁x² < y².0
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