An inequality in algebra is a mathematical statement that compares two quantities or expressions using symbols such as <, >, ≤, or ≥. It indicates that one quantity is greater than, less than, or not equal to the other quantity.
To solve an inequality in algebra, follow the same rules as solving an equation, with the exception that if you multiply or divide by a negative number, you must flip the direction of the inequality symbol. The solution is the range of values that make the inequality true.
The main difference between solving equations and solving inequalities is that when solving an inequality, you must consider the direction of the inequality symbol. Also, while equations have one specific solution, inequalities have a range of possible solutions.
Inequalities are important in algebra because they allow us to compare quantities and make statements about their relationships. They are also used in real-life situations, such as budgeting and analyzing data, to determine the range of possible outcomes.
Yes, inequalities can be graphed on a number line or on a coordinate plane. The solution to the inequality is represented by a shaded region on the graph, which may be above or below a certain point on the number line or on a specific side of a line on the coordinate plane.