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
Related questions
Question
Can anyone here please prove this claim by follows the all below strategy
![Do not
Claim (
For all real numbers a, b, c, and d,
Not for
ion-Do
py-No
(
Symbolic version
distributi (a, b, c, d) e RX RX RXR,
ibution
o not
t copy-
for di
Do no
if a = (b +c+d)/3, then either (2b + c) ≤3a, or (2c + d) ≤3a, or (2d+b) ≤ 3a.
distribe
on-De
copy
co
tion-Do not cle
Jy-Notr
ribution - Do
copy-Not for
(a = (b +c+d)/3) → ( [(2b + c) ≤ 3a] ✓ [ (2c + d) ≤ 3a] v[ (2d + b) ≤ 3a])
dividu
Cop
tribution
distribut
o not
distribution,
opy=
not cop
nf
Not for ributo
opy-No.
Not fo
"
-
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
Not for trategy: (This strategy must be used; no exceptions. See Proof-Week-4.docx for more instions. Do not copy->
for dis
not copy
distributin
o not copy
HERO honek
-INT
ribut
on)
ibution
-No
ution
Start the actual proof by supposing (a, b, c, d) is an ordered quadruple in Rx Rx Rx R₁
the hypothesis (antecedent) of the contrapositive's predicate.or
Do Be very careful when negating the various expressions involving equality or inequality. - Do no
tre
. 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.
ribut
Do
not copy"
distr
R that
Not for of
ayot for d
not co
tribution
Do not copa estribution - Do
on
Do not
cessa
for distr
Do not
oy-Not
Not for r
on-Do
/-Not'
oution --
but
Y-NO
on-Do not cony-Not for distributi
for o
not cor
or distri
Do not
Do not copy - Not f
a bit distribution
t for d'
Do not copy - N
not co Not for distribut
ion-Do not
py-Not for a
20 not c
ibution Note: You are required to assemble a sound written argument (in English- using proper grammar, punctition for
and spelling) that supports the truth of the claim. Your finished proof should "resemble" a presentation to aon-Do.
Sistributskeptical audience, carefully explaining the reasoning that should force them to concede the truth of the c
Correctly determine the contrapositive of the original claim.
Write a complete proof of that contrapositive, providing all
& copy
You'll probably need multiple drafts to arrive at your final version. (Only submit your final version.)
ution
dist
Not
no not
No
Do not"
not copy - Not for distri
ot for
y details ribution-Do not cop
-Daimoy-Not
or distribution-
copy-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a544cef-dd76-4fd0-b93b-b4a4e64ca6bd%2Fa1351d98-b26f-4460-9f80-5ffe12790637%2F3368a8d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Do not
Claim (
For all real numbers a, b, c, and d,
Not for
ion-Do
py-No
(
Symbolic version
distributi (a, b, c, d) e RX RX RXR,
ibution
o not
t copy-
for di
Do no
if a = (b +c+d)/3, then either (2b + c) ≤3a, or (2c + d) ≤3a, or (2d+b) ≤ 3a.
distribe
on-De
copy
co
tion-Do not cle
Jy-Notr
ribution - Do
copy-Not for
(a = (b +c+d)/3) → ( [(2b + c) ≤ 3a] ✓ [ (2c + d) ≤ 3a] v[ (2d + b) ≤ 3a])
dividu
Cop
tribution
distribut
o not
distribution,
opy=
not cop
nf
Not for ributo
opy-No.
Not fo
"
-
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
Not for trategy: (This strategy must be used; no exceptions. See Proof-Week-4.docx for more instions. Do not copy->
for dis
not copy
distributin
o not copy
HERO honek
-INT
ribut
on)
ibution
-No
ution
Start the actual proof by supposing (a, b, c, d) is an ordered quadruple in Rx Rx Rx R₁
the hypothesis (antecedent) of the contrapositive's predicate.or
Do Be very careful when negating the various expressions involving equality or inequality. - Do no
tre
. 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.
ribut
Do
not copy"
distr
R that
Not for of
ayot for d
not co
tribution
Do not copa estribution - Do
on
Do not
cessa
for distr
Do not
oy-Not
Not for r
on-Do
/-Not'
oution --
but
Y-NO
on-Do not cony-Not for distributi
for o
not cor
or distri
Do not
Do not copy - Not f
a bit distribution
t for d'
Do not copy - N
not co Not for distribut
ion-Do not
py-Not for a
20 not c
ibution Note: You are required to assemble a sound written argument (in English- using proper grammar, punctition for
and spelling) that supports the truth of the claim. Your finished proof should "resemble" a presentation to aon-Do.
Sistributskeptical audience, carefully explaining the reasoning that should force them to concede the truth of the c
Correctly determine the contrapositive of the original claim.
Write a complete proof of that contrapositive, providing all
& copy
You'll probably need multiple drafts to arrive at your final version. (Only submit your final version.)
ution
dist
Not
no not
No
Do not"
not copy - Not for distri
ot for
y details ribution-Do not cop
-Daimoy-Not
or distribution-
copy-
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