Write an inequality using absolute value that represents the given condition.
-The distance between y and L is less than $\varepsilon$ (epsilon).
A) $| y |

Question

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

Quizplus · Accepted Answer

The correct representation of the condition "the distance between y and L is less than $\varepsilon$" is $| y - L | < \varepsilon$ or $| L - y | < \varepsilon$, as both expressions accurately describe the distance between y and L in absolute terms, which must be less than $\varepsilon$.

Write an Inequality Using Absolute Value That Represents the Given ε\varepsilonε

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