3. Explain why the incquality (x- 2) >0 has one real number which is not a solution. What is this number? Give examples of numbers which satisfy the inequality. 4. Which is a correct satement? (Justify your answer): (a) The inequality x -x+1>0 has no solution; (b) The inequality x -x+1>0 has infinitely many solutions.

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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Can you help me with questions number 3 and 4
Problem 3
1. Use graphing approach to solve the inequality x+2x - 8>0 :
(a) Graph the function f(x) =x + 2x –8, find and label x-intercepts, shade the solution
set on the x-axis; Hint: f(x) = x' +2x - 8 = (x +1) -9;
(b) Write down the solution set using an interval notation; compare your answer with the
answer of other group members.
(c) Which of the following numbers belong to the solution set? Does your result support
or contradict with your answer to part (b)?
-10, -5, -4, -2, 0, 1, 2, 3, 100
(d) Write down the solution set to the inequality x +2x-850.
2. (a) Explain why the inequality (x - 4) s0 has exactly one solution (you may use
graphing approach, but are not required to).
(b) What is this solution?
(c) Does the inequality (x- 4) 2 Oalso have exactly one solution?
(d) Which of the following numbers are the solutions of the inequality (x- 4) 20?
-10, -5, 4, -2, 0, 1, 2, 3
3. Explain why the inequality (x - 2) >0 has one real number which is not a solution.
What is this number? Give examples of numbers which satisfy the inequality.
4. Which is a correct statement? (Justify your answer):
(a) The inequality x -x+1>0 has no solution;
(b) The inequality x -x +1>0 has infinitely many solutions.
Transcribed Image Text:Problem 3 1. Use graphing approach to solve the inequality x+2x - 8>0 : (a) Graph the function f(x) =x + 2x –8, find and label x-intercepts, shade the solution set on the x-axis; Hint: f(x) = x' +2x - 8 = (x +1) -9; (b) Write down the solution set using an interval notation; compare your answer with the answer of other group members. (c) Which of the following numbers belong to the solution set? Does your result support or contradict with your answer to part (b)? -10, -5, -4, -2, 0, 1, 2, 3, 100 (d) Write down the solution set to the inequality x +2x-850. 2. (a) Explain why the inequality (x - 4) s0 has exactly one solution (you may use graphing approach, but are not required to). (b) What is this solution? (c) Does the inequality (x- 4) 2 Oalso have exactly one solution? (d) Which of the following numbers are the solutions of the inequality (x- 4) 20? -10, -5, 4, -2, 0, 1, 2, 3 3. Explain why the inequality (x - 2) >0 has one real number which is not a solution. What is this number? Give examples of numbers which satisfy the inequality. 4. Which is a correct statement? (Justify your answer): (a) The inequality x -x+1>0 has no solution; (b) The inequality x -x +1>0 has infinitely many solutions.
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