Question

video: introduction to solving absolute value inequalities
graph inequality and then give interval notation. (in order to show infinity on a graph, you must scroll all the way until you see an arrow. dont forget the \solid dot\ or \open circle\)
$|x| < 4$
clear all draw:
interval notation for the above inequality is:

Explanation:

Step1: Solve the absolute value inequality

For \(|x|<4\), by the definition of absolute - value inequalities (\(|a|

Step2: Write the interval notation

The interval notation for the inequality \(-4 < x < 4\) is \((-4,4)\). In interval notation, a parenthesis is used when the endpoint is not included. Since \(x
eq - 4\) and \(x
eq4\) (because the original inequality is \(|x|<4\), not \(|x|\leq4\)), we use parentheses.

Answer:

\((-4,4)\)