If x is a positive single-digit integer such
问题详情
If x is a positive, single-digit integer such that 4x/3,2x, x, and x+2, and 3x-2 form. a non-ordered list of consecutive integers, which of the following could be the median of that list？
A．3
B．4
C．5
D．6
E．8请帮忙给出正确答案和分析，谢谢！
参考答案
正确答案：C
解析：Sincethereareonlyninesingle-digit,positiveintegers,andnotallofthemwillyieldintegerswhenweusetheminthesealgebraicexpressions,let'sstartwithtryingtofindavalueforxthatwillgiveusalistofconsecutiveintegers.Iwon'twork,since4/3×1isnotaninteger.Samewith2.Whenweuse3,though,weget4/3×3=4;that'saninteger.Theotherexpressionsgiveus2×3=6,3,3+2=5,and3×3-2=7.Soourgroupincludes4,6,3,5,and7.Theyaren'tinorder,buttheydon'thavetobeaccordingtotheproblem,andtheyareconsecutive.Butbecareful!Theproblemasksforthemedianofthelist,notthevalueofx.Themedianofthelist3,4,5,6,7is5.
