
Concept explainers
To calculate: The solution of the given inequality and express the solution using interval notation. Also graph the solution set on the real number line.

Answer to Problem 98RE
The shaded region shows solution of the given inequality on the graph below .
Explanation of Solution
Given information:
The given inequality is
Formula used:
In order to solve an inequality, the following things can be done.
• Add the same quantity to each side of th inequality
• Subtract the same quantity from each side
• Multiply or divide each side by the same positive quantity and If multiplied or divided each side by a negative quantity, then the inequality symbol must be reversed.
In case of non linear inequality,the function may be factorised and solved further long division method etc.
Calculation:
In order to solve an inequality, the following things can be done.
• Add the same quantity to each side of th inequality
• Subtract the same quantity from each side
• Multiply or divide each side by the same positive quantity and If multiplied or divided each side by a negative quantity, then the inequality symbol must be reversed.
The inequality can be solved as follows:
The solution using interval notation is
The marked line shows the given inequality on the graph below .
Calculation:
In order to solve an inequality, the following things can be done.
• Add the same quantity to each side of th inequality
• Subtract the same quantity from each side
• Multiply or divide each side by the same positive quantity and If multiplied or divided each side by a negative quantity, then the inequality symbol must be reversed.
The inequality can be solved as follows:
The interval notation is
The marked line shows the given inequality on the graph below .
..
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
- i don't understand how to get these answers please help!arrow_forwardEnter your answer in interval notation. No decimal entries allowed. Type oo (lower case o) for ∞ and -oo for -∞ if needed. Domain: Question Help: Message instructorarrow_forwardWrite a formula for the function g that results when the graph of the function f(x) = = 4 X is reflected about the y-axis, horizontally compressed by a factor of 2, shifted 7 units left, reflected about the x-axis and shifted 3 units up. g(x): = Question Help: Message instructorarrow_forward
- Question 7 4 pts 1 Details The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e0.3387x, where x = 0 corresponds to 1998. In what year did/will the exports reach $10.4 billion?arrow_forwardQuestion 7 4 pts 1 Detai The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e 0.3387x, where x = 0 corresponds to 1998. In what year did/will the exports reach $10.4 billion?arrow_forwardWrite a formula for the function g that results when the graph of the function f(x) = = 4 X is reflected about the y-axis, horizontally compressed by a factor of 2, shifted 7 units left, reflected about the x-axis and shifted 3 units up. g(x) = Question Help: Message instructorarrow_forward
- Question 3 Use the graph of f to evaluate the following: 3 pts 1 D 6 f(x) 5 4 3 2 1 -1 1 2 3 4 5 เค -1 x The average rate of change of f from 1 to 4 =arrow_forwardB Find the domain the function graphed below. Express in interval notation 5 3 pts 1 De 3 2 1 -5 -4 -3 2 -1 2 3 4 5 -2 -3 -4 5 Domain:arrow_forwardFind the domain the function graphed below. Express in interval notation 3 2 -5 4-3 12 -1 1 2 3 4 2 -3- 4 5+ Domain: Question Help: Message instructor Question 3arrow_forward
- Question 1 Find the domain of the function f(x)=√√5x+4 3 pts 1 Details Enter your answer in interval notation. No decimal entries allowed. Type oo (lower case o) for co and -00 for - if needed. Domain: instructorarrow_forwardUse the graph of f to evaluate the following: 6 T 5 4 3 2 f(x) 1 x 1 2 2 3 4 5 6 -1 The average rate of change of f from 1 to 4 = Question Help: Message instructorarrow_forwardQuestion 9 The plot below represents the function f(x) 8+ 7 6- ·6· -5 4-3-2-1 Evaluate f(4) f(4) = 4 3 2 1 2 2 3 3 4 $ 2 Solve f(x) = 4 I= Question Help: Message instructorarrow_forward
- 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





