(1) Identify the following as either expression or sentence. (a) 3x+7; x=2x-5; x; x=8 (b) x+4=13; x+3x32x; x+3x; x=12 (c) 2<5; 2+5; 2+3=5; 2x+3 (d) 2+4 ; x<6; x*<25; x+a

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(1)
Identify the following as either expression or sentence.
(a) 3x+7; x=2x-5; x; x=8
(b) x+4=13; x+3x%32x; x+3x; x=12
(c) 2<5; 2+5; 2+3=5; 2x+3
(d) 2+4; x<6; x°<25; x+a
(2)
Determine which of the following sentences are propositions and
indicate their truth values.
(a) Legazpi is the capital of Albay.
(b) 3+4=7
(c) x+y=y+x for every pair of real numbers x and y.
(d) x+3=15
(e) x+1=5 if x=1
(f) Answer this question.
(3) Provide the negation of each of the following propositions.
(a) Today is Tuesday.
(b) There is no pollution in Makati.
(4) Write the conjunction and the disjunction of each of the given
pairs of propositions p and q below. Then indicate which, if any,
of these statements is true.
(a) p: Three is an even integer.
q : Ten is a positive integer.
(b) p: The Pacific is an ocean.
q : The Nile is a river.
p: Birds have four legs.
(c)
q : Hamsters have wings.
Transcribed Image Text:(1) Identify the following as either expression or sentence. (a) 3x+7; x=2x-5; x; x=8 (b) x+4=13; x+3x%32x; x+3x; x=12 (c) 2<5; 2+5; 2+3=5; 2x+3 (d) 2+4; x<6; x°<25; x+a (2) Determine which of the following sentences are propositions and indicate their truth values. (a) Legazpi is the capital of Albay. (b) 3+4=7 (c) x+y=y+x for every pair of real numbers x and y. (d) x+3=15 (e) x+1=5 if x=1 (f) Answer this question. (3) Provide the negation of each of the following propositions. (a) Today is Tuesday. (b) There is no pollution in Makati. (4) Write the conjunction and the disjunction of each of the given pairs of propositions p and q below. Then indicate which, if any, of these statements is true. (a) p: Three is an even integer. q : Ten is a positive integer. (b) p: The Pacific is an ocean. q : The Nile is a river. p: Birds have four legs. (c) q : Hamsters have wings.
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