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 1
Linear Inequations
Linear inequations in one variable compare expressions using inequality signs, and their solutions can be represented on a number line.
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.
Exam highlight
Key diagram
Keywords worth remembering
Trending
linear inequationsicse class 10
Most searched
ICSE class 10 linear inequations
Quick revision
Study resources
Notes & downloads
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.