Learning Objectives:

__Math Tutoring on Solving Linear Inequalities in One Variable__

An **Algebraic Inequality** is a mathematical sentence connecting an expression to a value, variable, or another expression with an** inequality** **sign.** In words and as **mathematical symbols inequalities** are expressed as, **less than ( < ), less than or equal ( ≤ ), greater than ( > ) greater than or equal ( ≥ ), not equal (≠ ). **

Steps look almost the same as solving **linear equation** in one variable, except there's a big difference in one step. When we multiply or divide both sides to isolate the variable; we need to be very careful. If we multiply or divide both sides of any **inequality** by a negative number, we must reverse the **inequality symbol **or** inequality sign.**

Any value that makes an **inequality** true is called a **solution.** **Solution** to **linear inequalities** can be expressed in several ways: using **inequalities**, using a **graph** or using **interval notation**. To solve graphically we need to graph the left side as **y _{1}, **right side as

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**Hook Questions:**

*1. **What is meant by algebraic inequality?*

*2. **What is the difference between linear equality and linear inequality?*

*3. **Explain solution of an inequality.*

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