- (a) The set of all points on the real line whose distance from zero is less than 3 can be described by the absolute value inequality | x | _____.
- (b) The set of all points on the real line whose distance from zero is greater than 3 can be described by the absolute value inequality | x | _____.
(a)
To fill: The blank in the statement “The set of all points on the real line whose distance from zero is less than 3 can be described by the absolute value inequality ____”.
Answer to Problem 4E
The complete statement is “The set of all points on the real line whose distance from zero is less than 3 can be described by the absolute value inequality
Explanation of Solution
Definition used:
The absolute value of a real number is defined as the distance of that number from zero (the origin) on a number line.
Calculation:
Since the distance of a number from zero on a number line is the absolute value of that number, the set of all points x on the real line whose distance from zero is less than 3 will be the set of all points on the number line, whose absolute value is less than 3.
That is,
Thus, the complete statement is “The set of all points on the real line whose distance from zero is less than 3 can be described by the absolute value inequality
(b)
To fill: The blank in the statement “The set of all points on the real line whose distance from zero is greater than 3 can be described by the absolute value inequality ____”.
Answer to Problem 4E
The complete statement is “The set of all points on the real line whose distance from zero is greater than 3 can be described by the absolute value inequality
Explanation of Solution
Since the distance of a number from zero on a number line is the absolute value of that number, the set of all points x on the real line whose distance from zero is greater than 3 will be the set of all points on the number line, whose absolute value is greater than 3.
That is,
Thus, the complete statement is “The set of all points on the real line whose distance from zero is greater than 3 can be described by the absolute value inequality
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- Ministry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Automobile Department Subject :Engineering Analysis Time: 2 hour Date:27-11-2022 کورس اول تحليلات تعمیر ) 1st month exam / 1st semester (2022-2023)/11/27 Note: Answer all questions,all questions have same degree. Q1/: Find the following for three only. 1- 4s C-1 (+2-3)2 (219) 3.0 (6+1)) (+3+5) (82+28-3),2- ,3- 2-1 4- Q2/:Determine the Laplace transform of the function t sint. Q3/: Find the Laplace transform of 1, 0≤t<2, -2t+1, 2≤t<3, f(t) = 3t, t-1, 3≤t 5, t≥ 5 Q4: Find the Fourier series corresponding to the function 0 -5arrow_forwardMinistry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Subject :Engineering Analysis Time: 80 min Date:11-12-2022 Automobile Department 2nd month exam / 1" semester (2022-2023) Note: Answer all questions,all questions have same degree. کورس اول شعر 3 Q1/: Use a Power series to solve the differential equation: y" - xy = 0 Q2/:Evaluate using Cauchy's residue theorem, sinnz²+cosz² dz, where C is z = 3 (z-1)(z-2) Q3/:Evaluate dz (z²+4)2 Where C is the circle /z-i/-2,using Cauchy's residue theorem. Examiner: Dr. Wisam N. Hassanarrow_forwardMinistry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Subject :Engineering Analysis Time: 80 min Date:11-12-2022 Automobile Department 2nd month exam / 1" semester (2022-2023) Note: Answer all questions,all questions have same degree. کورس اول شعر 3 Q1/: Use a Power series to solve the differential equation: y" - xy = 0 Q2/:Evaluate using Cauchy's residue theorem, sinnz²+cosz² dz, where C is z = 3 (z-1)(z-2) Q3/:Evaluate dz (z²+4)2 Where C is the circle /z-i/-2,using Cauchy's residue theorem. Examiner: Dr. Wisam N. Hassanarrow_forwardWhich degenerate conic is formed when a double cone is sliced through the apex by a plane parallel to the slant edge of the cone?arrow_forward1/ Solve the following: 1 x + X + cos(3X) -75 -1 2 2 (5+1) e 5² + 5 + 1 3 L -1 1 5² (5²+1) 1 5(5-5)arrow_forwardI need expert handwritten solution.to this integralarrow_forwardExample: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]arrow_forwardExample: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]arrow_forwardPlease can you give detailed steps on how the solutions change from complex form to real form. Thanks.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning