Solving Inequalities

Solving and graphing inequalities is an essential skill in algebra and is used to represent relationships between variables where one value is greater than or less than another. Inequalities are often solved and graphed in a manner similar to equations, but there are some key differences.

Solving Inequalities:

Example 1: Solve for x in the inequality "3x - 2 < 7."

Example 2: Solve for y in the inequality "-2y ≥ 10."

Graphing Inequalities:

Example 4: Graph the solution to the inequality "y > 2."

Solving and graphing inequalities is a valuable skill for modeling real-world situations, such as inequalities involving income, age, temperature, and more. By understanding and applying these concepts, you can make informed decisions and analyze data in various fields.