Do not Claim ( For all real numbers a, b, c, and do if a = (b +c+d)/3, then either (2b + c) ≤3a, or (2c + d) ≤3a, or (2d+b) ≤3a. N distribe on-De copy Not for ion-Do py-Not ( ibution o not Symbolic version t copy- distributio (a, b, c, d) e RX RX RXR, (a = (b +c+d)/3) → ( [(2b + c) ≤ 3a] v[ (2c + d) ≤ 3a] v[ (2d + b) ≤ 3a]) dividu Cop tribution distribut tion - Donot col Jy Not r ribution-Do -copy-Not for distribution, opy: nf opy - No. Not for ributo Not fo ion - Do not -Not for a o not c - D Do not Inform your reader(s) that you are going to prove the (logically equivalent) contrapositive Carefully replace the original universal conditional statement by its contrapositive: Be careful when using De Morgan's Laws to negate the expression involving disjunctions for di -INT for dis for di Do no Not for trategy: (This strategy must be used; no exceptions. See Proof-Week-4.docx for more intens-Do not copy- on) o not copy TREXON No not copy ibution distributi top . fo Do not cop Sum the inequalities appearing in the hypothesis of the contrapositive's predicate, then of obvious algebra. The Trichotomy Law will help you to arrive at the desired conclusion. tribut Not not copy" Not for d on Do not for distr buti ot for tion Do not Not for Start the actual proof by supposing (a, b, c, d) is an ordered quadruple i in Rx Rx RxR the hypothesis (antecedent) of the contrapositive's predicate.or Do Be very careful when negating the various expressions involving equality or inequality. - Do no Correctly determine the contrapositive of the original claim. R that ayot for d Write a complete proof of that contrapositive, providing all necessary details ribution - Do not cop a bit distribution Do not copesetribution-Do tribution lisinot.co Do not copy - Not f ny-Not Do not copy - N ution copy not co Not for distribut for on-Do / - Not' oution- but Y-NO on-Do not cony-Not for distributi not cor or distri Do not t for d' nt copy-Not for distr tion-Do not" nt for r
Do not Claim ( For all real numbers a, b, c, and do if a = (b +c+d)/3, then either (2b + c) ≤3a, or (2c + d) ≤3a, or (2d+b) ≤3a. N distribe on-De copy Not for ion-Do py-Not ( ibution o not Symbolic version t copy- distributio (a, b, c, d) e RX RX RXR, (a = (b +c+d)/3) → ( [(2b + c) ≤ 3a] v[ (2c + d) ≤ 3a] v[ (2d + b) ≤ 3a]) dividu Cop tribution distribut tion - Donot col Jy Not r ribution-Do -copy-Not for distribution, opy: nf opy - No. Not for ributo Not fo ion - Do not -Not for a o not c - D Do not Inform your reader(s) that you are going to prove the (logically equivalent) contrapositive Carefully replace the original universal conditional statement by its contrapositive: Be careful when using De Morgan's Laws to negate the expression involving disjunctions for di -INT for dis for di Do no Not for trategy: (This strategy must be used; no exceptions. See Proof-Week-4.docx for more intens-Do not copy- on) o not copy TREXON No not copy ibution distributi top . fo Do not cop Sum the inequalities appearing in the hypothesis of the contrapositive's predicate, then of obvious algebra. The Trichotomy Law will help you to arrive at the desired conclusion. tribut Not not copy" Not for d on Do not for distr buti ot for tion Do not Not for Start the actual proof by supposing (a, b, c, d) is an ordered quadruple i in Rx Rx RxR the hypothesis (antecedent) of the contrapositive's predicate.or Do Be very careful when negating the various expressions involving equality or inequality. - Do no Correctly determine the contrapositive of the original claim. R that ayot for d Write a complete proof of that contrapositive, providing all necessary details ribution - Do not cop a bit distribution Do not copesetribution-Do tribution lisinot.co Do not copy - Not f ny-Not Do not copy - N ution copy not co Not for distribut for on-Do / - Not' oution- but Y-NO on-Do not cony-Not for distributi not cor or distri Do not t for d' nt copy-Not for distr tion-Do not" nt for r
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.3: Introduction To Geometric Proof
Problem 33E
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