Solving inequalities (Edexcel GCSE Maths): Flashcards

📚Flashcards
Solving Inequalities
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

13 cards from this deck

Show

Definition of inequalities

Statements comparing expressions using <<, >>, , or

Four inequality symbols

<<, >>, ,

Solutions: equations vs inequalities

Equations: specific value; inequalities: range of values

Basic method to solve inequalities

Same steps as equations - same operations to both sides

Critical rule for negative multiplication/division

Reverse the direction of the inequality sign

When to flip inequality sign

When multiplying or dividing both sides by negative number

Proper inequality solution format

Variable isolated on one side, number on other side

What inequality solutions represent

Ranges of values, not single numbers

Why 2x<102x < 10 is not a solution

Variable not isolated

Double inequality example

155n<10-15 ≤ 5n < 10 (two inequalities combined)

How to solve double inequalities

Split and solve each part separately, then combine

Integer solutions for 3n<2-3 ≤ n < 2

n=3,2,1,0,1n = -3, -2, -1, 0, 1

Quick check method after solving

Substitute value from solution range into original inequality

Join 100,000+ GCSE students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.