IP EMaths Notes (Upper Sec, Year 3-4): 04) Linear Equations and Inequalities
In one line
Isolate variables cleanly and represent inequality solutions in interval or graphical form.
Last updated 30 Nov 2025
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- Start Here
- Key reminders
- Worked example - Solve and interpret
- Worked example - Solve a linear equation with fractions
Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 04) Linear Equations and Inequalities cover?
A: Isolate variables cleanly and represent inequality solutions in interval or graphical form.
Start Here
| Read time | What to take away |
| 1 second | Do the same operation to every side, and flip an inequality when multiplying or dividing by a negative. |
| 10 seconds | Linear questions are mostly bookkeeping. Clear fractions, collect like terms, isolate the variable, then show the final answer as a value, interval, or shaded number line. |
| 100 seconds | Use the examples to see how equations and inequalities differ: equations pin down exact values, while inequalities describe ranges that may or may not overlap. |
Linear manipulations appear everywhere - simultaneous systems, variation models, and coordinate geometry. Practice consistent isolation and be fluent with inequality notation.
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These notes align with SEAB GCE O-Level Mathematics (4052) content used in IP programmes (exams from 2026).
Status: SEAB O-Level Mathematics 4052 syllabus (exams from 2026) checked 2025-11-30 - scope unchanged; remains the reference for these notes.
Key reminders
- Keep the equation balanced: whatever operation you apply to one side must be applied to the other.
- When multiplying or dividing an inequality by a negative number, reverse the inequality symbol.
- Present solution sets with interval notation or on a number line where appropriate.
