Q1
What happens when we multiply/divide an inequation by a negative number?
AWe flip the inequality sign
BNothing changes
CWe add a negative sign only
DWe ignore the sign
ICSEClass 10 (ICSE)MathematicsCh 4 · Topic 2
Practice and Revision - Linear Inequations
Let us practise and revise what we learned about linear inequations. Linear inequations in one variable compare expressions using inequality
Core concept
Solving inequations follows similar rules to equations, except multiplying or dividing by a negative number flips the inequality sign.
How it works
The solution to an inequation is often a range of values, represented using interval notation or shown on a number line.
Why it matters
Compound inequations, like -3 < x ≤ 5, combine two conditions, requiring the solution to satisfy both simultaneously.
Key detail
Understanding linear inequations helps solve real-life problems involving constraints, like budget limits or minimum/maximum requirements.
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Quick notes
• Solving inequations is similar to equations.
• Negative multiplication/division flips the sign.
• Solutions are often a range of values.
• This is shown using interval notation or number lines.
• Compound inequations combine two conditions.
• Example: -3 < x ≤ 5.
• Both conditions must be satisfied.
• Inequations solve real-life constraint problems.