Graph Inequalities

Main concept

We can graph inequalities on a number line to show which numbers are solutions

Inequality

Shows two amounts are not equal

Less than symbol

< means smaller than

Greater than symbol

means bigger than

Less than or equal to symbol

≤ means smaller or equal

Greater than or equal to symbol

≥ means bigger or equal

Example 1

x > 3 open circle at 3 arrow to the right toward bigger numbers

Read as

X is greater than 3 any number bigger than 3 works

Open circle

Not included used for < or >

Example 2

x ≤ 6 closed circle at 6 arrow to the left toward smaller numbers

Read as

X is less than or equal to 6 any number smaller or equal works

Closed circle

Included used for ≤ or ≥

Quick memory tricks

Open circle means not part of solution Closed circle means part of solution Arrow shows direction of all solutions

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Graph Inequalities 9 26 25