Absolute value equation with no solution examples

From this we can get the following values of absolute value. |2| = 2 |−3| = 3 ∣∣ ∣ 9 2∣∣ ∣ = 9 2 | 2 | = 2 | − 3 | = 3 | 9 2 | = 9 2. All that we need to do is identify the point on the number

Writing Absolute Value Equations Given Solutions

Some absolute value equations have variables both sides of the equation. However, that will not change the steps we're going to follow to solve the problem as the example below shows:

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How can an absolute value equation have no solution?

Since there’s no value of x x that can satisfy the equation, we say that it has no solution. In fact, the following absolute value equations don’t have solutions as

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How do you know if an absolute value equation has no solution?

Sometimes absolute value equations don't have a solution. This usually happens when the absolute value equals a negative number. For example: |x|=−3. No matter what value you put in for x you will never get −3 as an answer.

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2.6: Solving Absolute Value Equations and Inequalities

Solving the equation 4|x+10|+4 = 6|x+10|+10 to find that it has no possible solution. If you're seeing this message, it means we're having trouble loading external resources on our website.
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