Write the given statement using absolute value notation.
Given information:
Statement is:
“ y is more than d units from c .”
Formula used:
- Absolute value is representation on either side of the expression given by two parallel line.
- a less than b is represented as:
Absolute value x means:
For example, if the distance between x and y is a this is represented by absolute value notation as:
Calculation:
To write the given statement using absolute value notation first note that for any x :
Now, note that according to the given statement y is more than d units from c to represent this mathematically first note that the distance of y from c is represented as:
In absolute value it is represented as:
Since, given y is more than d units from c , i.e. above is more than d , i.e.
Thus, the absolute value notation of the given statement is:
Chapter P Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
- 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