Resources for Inequalities -Absolute Value
-
Video Tutorials
1
Click Here
Inequalities -Absolute Value Theory
NSW Y11 Maths - Extension 1 Functions Inequalities -Absolute Value
Videos
Videos relating to Inequalities -Absolute Value.
-
Inequalities -Absolute Value - Video - Solving Absolute Value Equations and Inequalities - Number Line & Interval Notation
Plans & Pricing
With all subscriptions, you will receive the below benefits and unlock all answers and fully worked solutions.
-
Teachers TutorsFeaturesFreeProAll ContentAll courses, all topicsQuestionsAnswersWorked SolutionsSystemYour own personal portalQuizbuilderClass ResultsStudent ResultsExam RevisionRevision by TopicPractise ExamsAnswersWorked SolutionsAwesome StudentsFeaturesFreeProContentAny course, any topicQuestionsAnswersWorked SolutionsSystemYour own personal portalBasic ResultsAnalyticsStudy RecommendationsExam RevisionRevision by TopicPractise ExamsAnswersWorked Solutions
Theory
For inequalities such as \(\left| {x - a} \right| \le x - b\), a graphical technique is the best method.
Let \(y = \left| {x - a} \right|\) and \(y = x - b\), draw the graphs and then calculate the points of intersection. These points will be the critical points, which will determine the regions where the inequality is valid.
Syllabus Reference
NSW Syllabus Reference: ME-F1.2 Inequalities. This will require student to
- solve quadratic inequalities using both algebraic and graphical techniques
- solve inequalities involving rational expressions, including those with the unknown in the denominator
- solve absolute value inequalities of the form \(|ax+b| \ge k,\, |ax+b| \le k,\, |ax+b| <k\) and \(|ax+b| > k\)