🔢

Inequality

★★☆☆☆Middle School

📖Definition

An expression showing the relationship between two values using inequality symbols.

📐Formulas

a < b, a > b, a ≤ b, a ≥ b

Types of inequality symbols

a < b ⇒ a + c < b + c

Adding same value preserves inequality

a < b, c > 0 ⇒ ac < bc

Multiplying by positive preserves inequality

a < b, c < 0 ⇒ ac > bc

Multiplying by negative reverses inequality

✏️Examples

예제 1☆☆☆☆

Solve 2x - 3 > 5.

예제 2★★☆☆☆

Solve -3x + 6 ≤ 12.

Applications

Optimization

Expressing constraints

Economics

Budget constraints

🔗Related Documents

Prerequisites

Applications

#algebra#inequality#fundamental