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Dmitriy789 [7]
1 year ago
6

Which of the following absolute value equations has no solutions?Group of answer choices

Mathematics
1 answer:
Amiraneli [1.4K]1 year ago
3 0

The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:

In other words:

• If d is positive and

\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}

• If d is negative and

\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}

Therefore, the equation that has no solutions is:

\boldsymbol{|x|=-3}

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