Experiment with these inequalities on the Desmos graphing calculator.

For further Desmos examples see Explore Straight Lines and Explore Graphs.
You may find the following notes helpful in understanding Inequalities
From Craig Barton – some very clear notes aimed at students aged 11-16
From David Smith’s The Maths Teacher, the A Level section (age 16-18) includes a video and exercisess on Linear and quadratic inequalities (under Algebra AS Level)
From Tony Hobson’s Just the Maths aimed at older students, see Inequalities 1 and Inequalities 2 which progresses to absolute value inequalities
More examples on the Desmos Graphing calculator are available on the Explore Graphs page.
@Desmos on Twitter have provided this wonderful example of art work which uses inequalities.
Sun Sets in the mountains

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