# Equations and inequalities notes

> CAPS-aligned study notes for Equations and inequalities in Grade 11 Technical Mathematics. Browse the sections below for explanations, worked examples and exam preparation.

- Page: https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities

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## Sections in Equations and inequalities

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- [Quadratic equations (factorisation and quadratic formula)](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities/quadratic-equations-factorisation-and-quadratic-formula) — Quadratic Equations A quadratic equation is any equation that can be written in the form $ax^2 + bx + c = 0$ where $a \\neq 0$. You can solve quadratic equations by factorisation or by applying the…
- [Quadratic inequalities and graphical interpretation](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities/quadratic-inequalities-and-graphical-interpretation) — Quadratic Inequalities A quadratic inequality looks like a quadratic equation but uses an inequality sign ($\<$, $\>$, $\\leq$, or $\\geq$) instead of an equals sign. To solve a quadratic inequality, you…
- [Simultaneous equations and changing the subject](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities/simultaneous-equations-and-changing-the-subject) — Simultaneous Equations and Changing the Subject A system of simultaneous equations is a set of two (or more) equations that must be solved at the same time. The solution is the pair of values $(x;\\;…
- [Word problems](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities/word-problems) — Word Problems Word problems require you to translate a real-life situation described in words into mathematical equations, solve the equations, and then interpret your answer in context. This is the…

## Other Technical Mathematics topics

- [Analytical geometry](https://www.hlayiso.com/grade-11/technical-mathematics/notes/analytical-geometry)
- [Exponents and surds](https://www.hlayiso.com/grade-11/technical-mathematics/notes/exponents-and-surds)
- [Logarithms](https://www.hlayiso.com/grade-11/technical-mathematics/notes/logarithms)
- [Nature of roots](https://www.hlayiso.com/grade-11/technical-mathematics/notes/nature-of-roots)
- [Euclidean geometry](https://www.hlayiso.com/grade-11/technical-mathematics/notes/euclidean-geometry)
- [Functions and graphs](https://www.hlayiso.com/grade-11/technical-mathematics/notes/functions-and-graphs)
- [Trigonometry](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry)
- [Circles, angles and angular movement](https://www.hlayiso.com/grade-11/technical-mathematics/notes/circles-angles-and-angular-movement)
- [Finance, growth and decay](https://www.hlayiso.com/grade-11/technical-mathematics/notes/finance-growth-and-decay)
- [Mensuration](https://www.hlayiso.com/grade-11/technical-mathematics/notes/mensuration)

## Frequently asked questions

### What is covered in Equations and inequalities for Grade 11 Technical Mathematics?

The Equations and inequalities section covers all key concepts from the Grade 11 Technical Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

### Are the Equations and inequalities notes free?

Yes. Each section has a free preview, and a free Hlayiso account lets you read the full notes.

### How do these notes help with exam preparation?

Our Equations and inequalities notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 11 Technical Mathematics exams.

### Are there quizzes for Equations and inequalities?

Yes. Hlayiso has quizzes for Equations and inequalities in Grade 11 Technical Mathematics. Test your understanding after reading the notes.

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