IP EMaths Notes (Upper Sec, Year 3-4): 04) Linear Equations and Inequalities

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.

Linear manipulations appear everywhere - simultaneous systems, variation models, and coordinate geometry. Practice consistent isolation and be fluent with inequality notation.

Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through 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.

Worked example - Solve and interpret

Solve the system $$\begin{aligned} 2x - 3 &= 7 \cr 5 - x &> 2 \end{aligned}$$