Linear Inequalities (Leaving Cert Mathematics): Flashcards

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Linear Inequalities
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Linear inequality definition

Compares expressions using >>, ≥\geq, <<, or ≤\leq symbols

Symbol: >>

is greater than

Symbol: ≥\geq

is greater than or equal to

Symbol: <<

is less than

Symbol: ≤\leq

is less than or equal to

When multiplying/dividing by negative in inequality

Reverse the inequality sign

Natural numbers (NN) set

{1,2,3,4,...}\{1, 2, 3, 4, ...\} - counting numbers from 1

Integers (ZZ) set

{...,−3,−2,−1,0,1,2,3,...}\{..., -3, -2, -1, 0, 1, 2, 3, ...\} - all whole numbers

Real numbers (RR)

All numbers on the number line

Full circle (●) on number line means

Number is included in solution

Empty circle (○) on number line means

Number is not included in solution

When to use full circle on number line

For ≤\leq or ≥\geq (includes endpoint)

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