To write: The absolute value inequality that shows given condition of set of numbers.
Answer to Problem 71PPE
The absolute value inequality that shows the real numbers less than 4 units from zero is
Explanation of Solution
Given information:
The given set is: all real numbers less than 4 units from 0.
Concept used:
The absolute value inequality
Calculations:
The given set is “all real numbers less than 4 units from zero.”
A number less than 4 units is between -4 and +4.
Therefore, the absolute value inequality that shows all real numbers less than 4 units from zero is
On the real numbers line the situation is shown in Figure-1.
Conclusion:
The absolute value inequality that shows real numbers less and greater than 4 units from zero is
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