Write An Absolute Value Equation That Has No Solution Use the substitution method to solve for the solution set 1 2 Solve equation 2 for y Substitute into equation 1 If equation 1 was solved for a variable and then substituted into the second
When an absolute value expression is equal to a negative number we say the equation has no solution or DNE Notice how this happens in the next two examples Example 6 Follow these steps to solve an absolute value equality which contains one absolute value Isolate the absolute value on one side of the equation Is the number on the other side of the equation
Write An Absolute Value Equation That Has No Solution
Write An Absolute Value Equation That Has No Solution
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When the absolute value is equal to a positive number vert x 3 vert 5 Since 5 is a positive number this equation has two solutions When the absolute value is equal to a negative
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Write An Absolute Value Equation That Has No Solution
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There s one MAJOR red flag of an equation with an absolute value that has no solution Recall that an absolute value expression can never be less than zero
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Learn how to determine when an absolute value equation has no solution See sample problems involving absolute value equations both with and without
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Absolute value is always positive or zero An equation such as x 5 10 is never true It has NO solution The answer is the empty set 216 click here Keep
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There is one major red flag of an equation with an absolute value that has no solution Explanation An absolute value expression can never be less than zero That is a fully reduced
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Absolute value equations are always solved with the same steps isolate the absolute value term and then write equations based on the definition of the
Solving Absolute Value Equations with No Solution We will also encounter two special case scenarios The first scenario is when we have an absolute value equation that has no solution An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative The inequality left x right lt 2
This equation has no solution since an absolute value cannot be negative Solve the following Put your mouse on the yellow rectangle to check your solution If we have absolute value signs