

A worksheet on solving compound AND inequalities (including two-step inequalities, inequalities with brackets and inequalities with fractions).
In the exercises, students are required to express inequalities that are represented graphically, using interval notation and vice versa, solve inequalities and find the common inequalities of pairs of inequalities.
Detailed solutions are included.
Engage your students and save hours of marking time with this ready-to-print Solving Compound Inequalities (AND) Resource! This comprehensive practice pack guides students through visualizing, representing on number lines, and solving compound linear inequalities. It includes a complete, fully worked step-by-step answer key, making it perfect for independent classwork, homework, revision, or cover work.
What’s Included:
- Student Worksheet (2 Pages):
Section 1: Writing interval notation from real number line graphs.
Section 2: Writing inequalities from interval notation and sketching them on a number line.
Section 3: Finding common solution sets for basic “AND” compound inequalities.
Section 4: Solving multi-step compound inequalities (including brackets and fractions) to find overlapping solution sets. - Complete Teacher Solutions (2 Pages): Every single problem is fully worked out step-by-step with clear number line graphics. Ideal for quick marking or student self-assessment!
Target Audience & Key Stages:
- **Key Stage 3 (Year 9): **High-ability extension work.
- Key Stage 4 (Years 10 & 11): Core GCSE Foundation and Higher tier preparation.
- Perfect for GCSE Maths revision, independent study, or quick checks for understanding.
Educational Standards Covered (UK National Curriculum & GCSE):
- Algebra (A22): Solve linear inequalities in one variable and represent the solution set on a number line.
- Algebra (A2): Substitute numerical values into formulae and expressions, and understand interval notation.
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