Solving Equations and Inequalities by graphing

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What is an absolute value equation?

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An equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

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What does it mean when a system of linear equations has no solutions?

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It means that the lines representing the equations are parallel and never intersect.

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What is an inequality?

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A mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

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What is the graphical representation of a linear equation?

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A straight line on a coordinate plane that shows all the solutions to the equation.

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What does it mean to solve an equation by graphing?

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It means to plot the equations on a graph and find the points where they intersect, which represent the solutions.

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What is the difference between an equation and an inequality?

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An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than the other.