Solving Equations and Inequalities

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What does it mean to solve an inequality?

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To solve an inequality means to find the range of values for the variable that makes the inequality true.

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What is the solution set of an equation?

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The solution set of an equation is the set of all values that satisfy the equation.

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What is the solution set of an inequality?

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The solution set of an inequality is the set of all values that satisfy the inequality.

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What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

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What is a linear inequality?

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A linear inequality is an inequality that involves a linear expression and can be graphed as a region on a coordinate plane.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

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What is the significance of the equal sign in an equation?

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The equal sign indicates that the expressions on both sides of the equation have the same value.