What is the difference between an **Equation** and a **Inequality**?
I want an explanation not links.
~Thanks in advance~
See my last response below.
I did see that response but it only talked about inequalities and that website always gets me confused :\
Links do a better job of explaining than I can ever do. Here is another link. Read it and put it in your own words. his isn't purple math although I think that web site is very good.
http://www.ehow.com/info_8382315_difference-between-inequality-equation.html
An equation and an inequality are both mathematical statements, but they represent different concepts.
An equation is a statement that shows that two expressions are equal. It contains an equals sign (=) and can be solved to find the value of the variable involved. For example, the equation x + 3 = 7 can be solved to find that x is equal to 4.
To solve an equation, you can follow these steps:
1. Simplify both sides of the equation.
2. Combine like terms.
3. Use inverse operations (such as addition, subtraction, multiplication, or division) to isolate the variable on one side.
4. Find the value of the variable that satisfies the equation.
On the other hand, an inequality is a statement that shows a relationship between two expressions, typically using comparison operators such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠). For example, the inequality 2x + 5 < 10 represents that 2 times x plus 5 is less than 10.
To solve an inequality, you need to consider all possible values of the variable that make the inequality true. The solution can be represented as an interval or a set of values. The steps to solve an inequality depend on the type of inequality, but they generally involve similar operations as solving an equation. Remember to flip the inequality sign when multiplying or dividing by a negative number.
In summary, an equation is used to represent equality, while an inequality represents an inequality relationship such as greater than or less than. Equations can be solved to find a single value, while inequalities have a range of potential solutions.