Q: 1.1 to 1.4 Review

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What does it mean when an equation has 'No Solution'?

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An equation has 'No Solution' when there are no values for the variable that can satisfy the equation. This often occurs when the variable terms cancel out, leaving a false statement.

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What does it mean when an equation has 'All Real Numbers' as a solution?

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An equation has 'All Real Numbers' as a solution when any value for the variable satisfies the equation. This typically happens when the variable terms cancel out, resulting in a true statement.

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No Solution

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All Real Numbers

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What is an extraneous solution?

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An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

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What is the first step in solving an absolute value equation?

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The first step is to set up two separate equations: one for the positive case and one for the negative case of the expression inside the absolute value.

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@@(- fty, -1) \cup (6, fty)@@

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What does the notation @@(- fty, -1) \cup (6, fty)@@ represent?

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This notation represents the solution set of an inequality, indicating that the solution includes all numbers less than -1 and all numbers greater than 6.