Inequalities with absolute values can be tricky, we need to deal with all cases of what’s inside the absolute values, that is:
- Positive inside the absolute value
- Or a negative of what’s inside the absolute value
This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Further, Work with Functions.
Now, we will explore inequalities with absolute values Here we will learn to solve absolute value inequalities of the form:
- |ax+b| > k
- |ax+b| > |cx+d|
Let’s explore this more below.