Linear Inequalities

An inequality is a mathematical statement

An inequality is a mathematical statement that shows the relationship between two quantities using symbols: < (less than), > (greater than), ≤ (less t

Strict inequalities use < or >

Strict inequalities use < or > and do NOT include the boundary value. Slack inequalities use ≤ or ≥ and DO include the boundary value. For example, x

You can add or subtract

You can add or subtract the same number from both sides of an inequality without changing the inequality sign. If a < b, then a + c < b + c for any re

When multiplying or dividing both sides

When multiplying or dividing both sides by a POSITIVE number, the inequality sign stays the same: if a < b and c > 0, then ac < bc. However, when mult

These are inequalities of the form

These are inequalities of the form ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c, where a ≠ 0. The solution is found by isolating x using the rule