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brainygirl
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I need help on solving inequalities? Someone please help me. I 'm currently taking Pre-calculus. ![Smile :smile: :smile:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
The purpose of solving inequalities is to find the values of a variable that make the inequality true. This allows us to determine the range of possible solutions for a given problem.
To solve inequalities, we use the same rules and properties as solving equations. The main difference is that when we multiply or divide by a negative number, the direction of the inequality sign must be flipped.
There are three main types of inequalities: linear, quadratic, and rational. Linear inequalities involve only one variable and have a degree of 1. Quadratic inequalities involve a squared variable and have a degree of 2. Rational inequalities involve fractions with variables in the numerator or denominator.
To graph an inequality, we first plot the boundary line using the equal sign. Then, depending on whether the inequality is less than or greater than, we shade the region below or above the line. If the inequality includes or excludes the boundary line, we use a solid or dashed line, respectively.
Solving inequalities can be applied in various fields such as finance, engineering, and social sciences. Some examples include determining the minimum and maximum production levels for a company, finding the range of possible values for variables in an engineering problem, and analyzing income inequality in a population.