Write an inequality using absolute value that represents the given condition.
-The distance between x and c is less than $\delta$ (delta).
A) $| x |

Question

Write an inequality using absolute value that represents the given condition.
-The distance between x and c is less than $\delta$ (delta). 
A) $| x | < \delta - c$
B) $| x - c | < \delta$ or $| c - x | < \delta$
C) $| x | < \delta + c$
D) $| x + c | < \delta$ or $| c + x | < \delta$

Quizplus · Accepted Answer

The correct representation of the condition "the distance between x and c is less than $\delta$" is $| x - c | < \delta$ or equivalently $| c - x | < \delta$, as absolute value measures the distance between two points on a number line.

Write an Inequality Using Absolute Value That Represents the Given δ\deltaδ

Write an Inequality Using Absolute Value That Represents the Given $\delta$