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Inequalities

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An inequality compares two values, and a variable such as xxx or nnn stands for a number. A solution is any value that makes the inequality true.

Read the sign from left to right. For example, x<4x < 4x<4 means less than 4, x>4x > 4x>4 means greater than 4, x≤4x \le 4x≤4 means less than or equal to 4, and x≥4x \ge 4x≥4 means greater than or equal to 4.

The extra line in ≤\le≤ or ≥\ge≥ means the end value is included. Without that line, the end value is not included.

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Question 1

2 marks

n n\,n is an integer such that −2≤n<3-2 \leq n < 3−2≤n<3

Write down all the possible values of nnn.

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In GCSE mathematics, what is an integer?

Inequalities Revision Guide

  1. GCSE
  2. /Maths
  3. /Inequalities

Revision notes for Edexcel GCSE Maths Inequalities. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Compound Interest and DepreciationIndicesPrime Factors, HCF and LCMReal Life and Distance Time GraphsInequalitiesForming and Solving EquationsSequences (Nth Term)Expanding and FactorisingPythagorasAngles in Parallel LinesAngles in PolygonsSurface AreaVolume of a PrismCylindersLoci and ConstructionBearingsPlans and ElevationsAverages from Frequency TablesProbabilityScatter Graphs

Practise questions

1 of 5

A number line has an open circle at 5 and is shaded to the left. Which inequality does it represent?