By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether each statement in Exercises 79-88 is true or false. 79. 0.3 > 0.3 and -10 <4 + 6. 80. 0.6 < 0.6 and 2.5 s 4 + 6. 81. 12 e (1, 2, 3,... Jand (3) e (1, 2, 3, 4). 82. 17 e (1, 2, 3, ...Jand (4} e (1, 2, 3, 4, 5). 3 + = fx|x is a natural number and the value of 83. 5. 9x (x + 11) – 9(x + 11)x2, for x = 100, is 0. 14 5 E (x|x is a natural number}and the value of 84. 19 19 12r*(x + 10) – 12(x + 10)x, for x = 50, is 0. 85. (x|x is an integer between –3 and 0} = {-3, -2, -1,0) and - > -3.5. 86. {x|x is an integer between -4 and 0) = (-4,-3, -2, -1,0} and -> -23. 87. Twice the sum of a number and three is represented by 2r + 3 and -1,100,000 e (x|x is an integer} 88. Three times the sum of a number and five is represented by 3x + 5 and -4,500,000 e fx|x is an integer). 2
By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether each statement in Exercises 79-88 is true or false. 79. 0.3 > 0.3 and -10 <4 + 6. 80. 0.6 < 0.6 and 2.5 s 4 + 6. 81. 12 e (1, 2, 3,... Jand (3) e (1, 2, 3, 4). 82. 17 e (1, 2, 3, ...Jand (4} e (1, 2, 3, 4, 5). 3 + = fx|x is a natural number and the value of 83. 5. 9x (x + 11) – 9(x + 11)x2, for x = 100, is 0. 14 5 E (x|x is a natural number}and the value of 84. 19 19 12r*(x + 10) – 12(x + 10)x, for x = 50, is 0. 85. (x|x is an integer between –3 and 0} = {-3, -2, -1,0) and - > -3.5. 86. {x|x is an integer between -4 and 0) = (-4,-3, -2, -1,0} and -> -23. 87. Twice the sum of a number and three is represented by 2r + 3 and -1,100,000 e (x|x is an integer} 88. Three times the sum of a number and five is represented by 3x + 5 and -4,500,000 e fx|x is an integer). 2
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question

Transcribed Image Text:By definition, an "and" statement is true only when the
statements before and after the "and" connective are both true.
Use this definition to determine whether each statement in
Exercises 79-88 is true or false.
79. 0.3 > 0.3 and -10 <4 + 6.
80. 0.6 < 0.6 and 2.5 s 4 + 6.
81. 12 e (1, 2, 3,... Jand (3) e (1, 2, 3, 4).
82. 17 e (1, 2, 3, ...Jand (4} e (1, 2, 3, 4, 5).
3
+ = fx|x is a natural number and the value of
83.
5.
9x (x + 11) – 9(x + 11)x2, for x = 100, is 0.
14
5
E (x|x is a natural number}and the value of
84.
19
19
12r*(x + 10) – 12(x + 10)x, for x = 50, is 0.
85. (x|x is an integer between –3 and 0} = {-3, -2, -1,0)
and - > -3.5.
86. {x|x is an integer between -4 and 0) = (-4,-3, -2, -1,0}
and -> -23.
87. Twice the sum of a number and three is represented by
2r + 3 and -1,100,000 e (x|x is an integer}
88. Three times the sum of a number and five is represented
by 3x + 5 and -4,500,000 e fx|x is an integer).
2
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