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What does it mean when an equation or inequality has NO SOLUTION?

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It means that when the variables are eliminated, you are left with a FALSE statement (e.g., 2=4 or 5<1).

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No Solution

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No Solution

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Infinitely Many Solutions

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What does it mean when an equation or inequality has INFINTELY MANY SOLUTIONS?

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It means that when the variables are eliminated, you are left with a TRUE statement (e.g., 2=2 or 5>1).

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What is the definition of a variable in algebra?

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A symbol (usually a letter) that represents an unknown value.

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What is an equation?

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A mathematical statement that asserts the equality of two expressions.

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What is an inequality?

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A mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

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What does it mean for an equation to have one solution?

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It means there is exactly one value for the variable that makes the equation true.

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What is the solution set of an inequality?

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The set of all values that satisfy the inequality.