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OpenStudy (anonymous):
What is the solution set of |x – 2| + 4 = 3? please please help
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OpenStudy (amistre64):
what number, plus 4, equals 3?
OpenStudy (anonymous):
-1?
OpenStudy (amistre64):
correct; now .... the absolute value would have to be equal to -1; BUT, can an absolute value every produce a negative number?
OpenStudy (anonymous):
no
OpenStudy (amistre64):
then there are no solutions
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OpenStudy (amistre64):
the empty set denotes "no solutions"
OpenStudy (anonymous):
thank you
OpenStudy (amistre64):
good luck ;)
OpenStudy (anonymous):
the equation |x-2|+4=3 has no solution because |x-2|>0 and a +ve integer summed with 4 could never be equal to 3..so the equation has no solution
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