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MF.SN.4 Challenge MF-026-A12-V02

Interpret absolute value as distance and use it to compare quantities and errors.

Screen a mixed set by absolute-value conditions

Problem

Points on a number line have coordinates \(A~=~-6\), \(B~=~-1\), \(C~=~2\), \(D~=~5\), \(E~=~-4\), and \(F~=~0\). Find exactly \(\text{all}~\text{points}\) whose distance from \(0\) is less than point \(C\)'s distance from \(0\). Report the complete set of point labels.

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Four variants of this problem type
Curriculum context
Standard
MF.SN.4
Category
Signed Numbers
Domain
Absolute Value
Objective
Interpret absolute value as distance and use it to compare quantities and errors.
Problem type
Screen a mixed set by absolute-value conditions