Equality and Inequality Meeting 4

Equations An equation is a statement that two mathematical expressions are equal. The values of the unknown that make the equation true are called the solutions or roots of the equation, and the process of finding the solutions is called solving the equation.

Linear Equations

Example

Quadratic Equations

Example

Exercises

Exponential Equations An exponential equation is one in which the variable occurs in the exponent. Sometimes we use the Laws of Logarithms to “bring down x” from the exponent. For example

Example

Logarithmic Equations A logarithmic equation is one in which a logarithm of the variable occurs. For example

Example

Exercises

Inequalities The following illustration shows how an inequality differs from its corresponding equation:

Linear Inequalities An inequality is linear if each term is constant or a multiple of the variable. For example

Example

Quadratic Inequality For example

Inequality Involving a Quotient

Example

Exercises