Question

solve for s and graph the solution.
125 > |s + 425|
click two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or two arrowheads to graph a line. to change endpoints from filled - in circles to empty circles, click on them.

Explanation:

Step1: Apply absolute - value inequality rule

If \(a> |x|\), then \(-a < x < a\). Here \(a = 125\) and \(x=s + 425\). So, \(-125

Step2: Solve the compound inequality for \(s\)

Subtract \(425\) from all parts of the compound inequality.
For the left - hand side: \(-125-425For the right - hand side: \(s+425 - 425<125 - 425\), which simplifies to \(s<-300\).

Answer:

The solution of the inequality \(125>|s + 425|\) is \(-550 < s<-300\). On the number line, we click on \(-550\) (empty circle) and \(-300\) (empty circle) and then click between them to graph the line segment.