Q1
What symbol represents 'less than'?
A<
B>
C=
D≠
ICSEClass 8 (ICSE)MathematicsCh 15 · Topic 2
Practice and Revision - Linear Inequations
Let us practise and revise what we learned about linear inequations. A linear inequation compares two expressions using inequality signs lik
Core concept
Solving inequations follows similar rules to equations, except when multiplying or dividing both sides by a negative number, we flip the inequality sign.
How it works
For example, solving 2x+3 < 11 gives 2x < 8, so x < 4, meaning any value less than 4 satisfies the inequation.
Why it matters
Solutions to inequations can be represented on a number line, showing the range of values that satisfy the condition.
Key detail
Understanding inequations helps solve real-life problems involving limits, like budget constraints or minimum requirements.
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Quick notes
• Inequations use signs like <, >, ≤, ≥.
• Rules are similar to equations, except when multiplying/dividing by negatives.
• Flip the inequality sign for negative multiplication/division.
• 2x+3<11 gives x<4.
• Solutions are a range, not one value.
• Number lines show inequation solutions.
• Inequations help with budget constraints.
• They help with minimum requirement problems.