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
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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