Complete the following direct proof of the statement: If x and y are positive real numbers and x < y, then x² < y²2². Hint: answer each blank with an expression. Type "x^2" for "x2" proof. Since x/y Since Since x² < Hint: , multiply both sides of x < y by x yields " mutiply both sides of x < y by y yields <2²₁x² <2².0

EBK JAVA PROGRAMMING
9th Edition
ISBN:9781337671385
Author:FARRELL
Publisher:FARRELL
Chapter5: Making Decisions
Section: Chapter Questions
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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 <2.
Hint: answer each blank with an expression. Type "x^2" for "x2".
proof.
Since x/y
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 <2. Hint: answer each blank with an expression. Type "x^2" for "x2". proof. Since x/y 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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