Ex 2: Solve and Graph Absolute Value inequalities

This video explains how to solve two absolute value inequalities. The solution is expressed as a compound inequality, a graph, and using interval notation.

[Mathispoweru]

It is based upon the inequality symbol. If it is less than OR greater than, the point is open since the solution does not include the value. If is is less than or equal to OR greater than or equal to, the point is closed because the value is included in the solution.

[carlyceleski]

thank you so much! I knew how to solve but I was just having trouble figuring out how to put it in interval notation.

[sydneybearchum]

When you graph the solutions for x on the number line, why aren't they an equal distance away from zero? I understand that when expressing absolute values while using inequalities means that we're defining a group of numbers that is either within a certain range or out of a given range. So, when we're solving absolute value equations it's very apparent why the two values for x are equal distance from zero, but when using inequalities this concept is lost on me. My teacher mentioned something about the center point changing, but her explanation of why wasn't great.

[maxaiden]

i stilll doont know how to graph im plz some one help me some how