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Graphing Inequalities•
Inequalities

Graphing Inequalities (A) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Substitution into formulae. Equations of lines parallel to the x and y axes and in the form y + x = c.
Learning Objective: Represent inequalities on a graph.

Graphing Inequalities (A) WORKSHEET DESCRIPTION

Introduce learners to graphing inequalities with this worksheet that will guide them through the basics.

In Section A, students are presented with a range of inequalities and tasked with matching each to the corresponding graph that represents the solution region. The constants in the inequalities are either 9 or -9, allowing students to explore and compare how inequalities involving x, y, or both variables behave. This comparison also helps them distinguish between inequalities that include or exclude equality.

Next in Section B, learners are guided towards stating the inequality represented by different shaded regions. As they consider the equation of the graph, whether the region is above or below this line and whether it has equality or not.

Then in Section C, pupils will represent six different inequalities on separate sets of axes.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Graphing Inequalities (A) Worksheet Suitable for Year 10 and Year 11 Students

RELATED TO Graphing Inequalities (A) WORKSHEET

Graphing Inequalities (B)

Year groups: 10, 11

Preview of Graphing Inequalities (B)

Graphing Inequalities (C)

Year groups: 10, 11

Preview of Graphing Inequalities (C)

Shading Regions (B)

Year groups: 10, 11

Preview of Shading Regions (B)

Shading Regions (A)

Year groups: 10, 11

Preview of Shading Regions (A)

Frequently Asked Questions

Students should be comfortable with substitution into formulae before tackling this resource. They'll also need to understand equations of lines parallel to the x and y axes, as well as those in the form y + x = c, since recognising these line types is crucial for interpreting the boundary lines in inequality graphs.