Explain the difference between an equation and an inequality.

An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. ... An equation shows the equality of two variables while an inequality shows the inequality of two variables. An inequality, on the other hand, is a statement that uses the symbols > for greater than or < for lesser than to denote that one quantity is larger or smaller in value than another. Like an identity, an inequality holds values for all variables. It focuses on the inequalities of two variables with one as their exponents. Its graphs include a dashed line that shows if they are greater or lesser than each other or if they are not equal to each other. It is very complex and needs assessment as to how to resolve the additional set of solutions. An equation only involves simple slope and intercept analysis making it less complex. Its graphs include a solid line in all the equations. While a linear equation of two variables can have more than one solution, a linear inequality involves several sets of solutions. An equation shows the equality of two amounts or variables, and it has only one answer to a problem although it can have different solutions. It uses factors such as x, y, etc. An inequality, on the other hand, shows how numbers or variables are ordered, whether they are lesser than, more than, or equal to each other. Examples: Equation: a) x + 10 = 15

Summary:

1. An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.

2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

3. Although both can have several different solutions, an equation only has one answer while an inequality can also have several.

4. An equation uses factors like x and y while an inequality uses symbols such as < and >

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step-by-step explanation:

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