Solving Inequalities

What is an inequality?

An inequality is a mathematical statement that compares two expressions using inequality symbols like <, >, ≤, and ≥.

What are the common inequality symbols?

The common inequality symbols are: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).

How do you solve a linear inequality?

To solve a linear inequality, isolate the variable on one side by performing the same operations on both sides.

What happens when you multiply or divide by a negative number?

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol.

Can inequalities have multiple solutions?

Yes, inequalities often have multiple solutions, which can be represented as a range or an interval on a number line.

What is a compound inequality?

A compound inequality involves two inequalities connected by “and” or “or”. For “and,” solutions must satisfy both inequalities; for “or,” solutions must satisfy at least one.

In this article we will explore how to solve Inequalities with Multiplication and Division in detail and solve some examples related to it. Let’s start our learning on the topic “Solving Inequalities with Multiplication and Division.”