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write:Thisissayingthatthequantityintheabsolutevaluebarshasadistanceofzerofromtheorigin. Thereisonlyonenumberthathasthepropertyandthatiszeroitself.

let’stakealookathowtodealwithequationsforwhichbiszeroornegative.We’lldothiswithanexample.Example2Solveeachofthefollowing.(a)j10x3j=0(b)j5x+9j=3Solution(a)j10x3j=0Let’sapproachthisonefromageometricstandpoint.Thisissayingthatthequantityintheabsolutevaluebarshasadistanceofzerofromtheorigin.Thereisonlyonenumberthathasthepropertyandthatiszeroitself.So
wemusthave
10×3=0)x=310©PaulDawkinsAlgebra–162–

 

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