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Representing Inequalities on Number Lines Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Inequality symbol: <
Means 'less than'. For example, x < 3 means x is less than 3.
Inequality symbol: >
Means 'greater than'. For example, x > 3 means x is greater than 3.
Inequality symbol: ≤
Means 'less than or equal to'. For example, x ≤ 3 means x is less than or equal to 3.
Inequality symbol: ≥
Means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.
Open circle on a number line
Represents a strict inequality (< or >). The value at the circle is not included.
Closed circle on a number line
Represents an inclusive inequality (≤ or ≥). The value at the circle is included.
Shading on a number line
Indicates the range of values that satisfy the inequality.
x > 2 on a number line
Draw an open circle at 2 and shade to the right to show values greater than 2.
x ≤ -1 on a number line
Draw a closed circle at -1 and shade to the left to show values less than or equal to -1.
Double inequality (e.g., -2 ≤ x < 3) on a number line
Draw a closed circle at -2 and an open circle at 3, shading the region between them.
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