Graphs of Inequalities — Interactive Lesson (Ages 14–16)

☆☆☆☆☆ Add your review • Year 10–11 • 🎓 Interactive Lesson & Activities

A 35-slide interactive GCSE lesson on graphs of inequalities: shading regions for x, y and linear inequalities and finding the region that satisfies several inequalities.

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Which region shows x + y < 3? This 35-slide interactive lesson teaches graphs of inequalities, one step at a time.

Mastering Graphs of Inequalities at GCSE

Students learn that inequalities can be represented by regions on a graph, where every point in the region obeys a given rule. They draw the boundary line, such as x = 4 or x + y = 3, then shade out the unwanted region to leave the region that represents the inequality. They learn to use a dotted line for a strict inequality and a solid line otherwise, and to identify the region that satisfies several inequalities at once.

What’s Included

35-slide interactive lesson on graphs of inequalities
Regions for x, y, x + y and y > x inequalities
Step-by-step drawing of boundary lines and shading unwanted regions
Questions on identifying the region that satisfies three inequalities
Copy-the-grid practice tasks and a review quiz

Key Benefits for Students

Shows why the unwanted region is shaded out
Builds accurate use of dotted and solid lines
Prepares students for linear programming style questions
Instant feedback on answer questions

Why Teachers Love It

No prep — ready for whole-class teaching on an interactive whiteboard
A long, structured lesson that can be split across sessions
Self-marking questions support independent practice
Includes practice tasks to copy onto grids
Suits teaching, revision and homework

Love this? You’ll love…

A dependable addition to a GCSE algebra and graphs topic, giving students a clear routine for showing inequalities on a graph. Careful shading and line style are exactly what examiners look for.

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FAQ

What year group is this for? Years 10–11 (ages 14–16), GCSE.

Does it cover several inequalities at once? Yes — students find the region that satisfies all of them.

Is it self-marking? Yes, with instant feedback on the questions.

Year Groups	Year 10–11
Resource Type	🎓 Interactive Lesson & Activities
Format	Digital Only
Curriculum	England & Wales — KS4 (Years 10–11)
Added	22 April 2019