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Daniel J Smith Custom TMUA alpha · Q12

Algebra

Fix distinct real numbers a≠ba\neq b with a<ba<b. Consider the equation

∣x−a∣+∣x−b∣=∣a−b∣|x-a|+|x-b|=|a-b|

Which of the following describes the complete solution set for xx?

Ax=a+b2x=\frac{a+b}{2}
Bx=ax=a or x=bx=b
Call real xx with a≤x≤ba\leq x\leq b
Dall real xx
Eno real solutions

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