Linear Inequalities Flashcards

A mathematical statement that shows the relationship between two expressions using inequality symbols (<, >, ≤, ≥).

< means 'less than', > means 'greater than', ≤ means 'less than or equal to', and ≥ means 'greater than or equal to'.

To solve, isolate the variable on one side using inverse operations, just like solving an equation.

When multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be reversed.

Use an open circle for < or > and a closed circle for ≤ or ≥. Shade the region that satisfies the inequality.

A statement with two inequality signs, e.g., 3 < x ≤ 7, which means x is greater than 3 and less than or equal to 7.

Substitute a value into the inequality to see if it makes the statement true.

Shade the region of the graph that satisfies the inequality. Use a dashed line for < or > and a solid line for ≤ or ≥.

Equations have an '=' sign and one solution, while inequalities use <, >, ≤, or ≥ and often have a range of solutions.

Two or more inequalities joined by 'and' or 'or'. For 'and', solutions must satisfy both inequalities. For 'or', solutions satisfy at least one inequality.