Linear Inequalities

Two real numbers or algebraic expressions

Two real numbers or algebraic expressions related by symbols <, >, ≤, or ≥ form an inequality. For example, 30x < 200 represents that 30 times x is le

Strict inequalities use < or >

Strict inequalities use < or > symbols (like x < 5), while slack inequalities use ≤ or ≥ symbols (like x ≤ 5). Linear inequalities in one variable hav

Rule 1

Rule 1: Equal numbers can be added to or subtracted from both sides without changing the inequality sign. Rule 2: Both sides can be multiplied or divi

Solutions are values of the variable

Solutions are values of the variable that make the inequality a true statement. Unlike equations which typically have specific solutions, inequalities

On a number line

On a number line, x < a is shown with an open circle at 'a' and a line extending left. For x ≤ a, use a filled circle at 'a'. Similarly, x > a uses an