saifoo.khan
  • saifoo.khan
a,b,c,d and e are all integers where abc) and e=6 which of the following could equal zero?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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saifoo.khan
  • saifoo.khan
A)a only B)b only C)b or c only D)a,b and c only E)a,b,c,or d only
anonymous
  • anonymous
i would hazard a guess at B)
anonymous
  • anonymous
b or c only -1<1<0<2<6 -1<0<1<2<6

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saifoo.khan
  • saifoo.khan
\[Guess = \checkmark\]
anonymous
  • anonymous
wait ... i made a mistake...
anonymous
  • anonymous
problemsolver is right...only b
anonymous
  • anonymous
sequence can be like -2,0,2,3,6
anonymous
  • anonymous
nope ...... 6=2*3
anonymous
  • anonymous
-1<0<1<2<6
anonymous
  • anonymous
oops ... will be -3 , 0 , 1,2 ,6
saifoo.khan
  • saifoo.khan
How so?
anonymous
  • anonymous
well... we must prove other options are not right for example suppose a=0 then b=1 c=2 d=3 ------> contradiction because 0<1<2<3<6 ,,, 6=2*3
saifoo.khan
  • saifoo.khan
Ah, i see..
anonymous
  • anonymous
if c=0 then a must be negative and b must be positive this is contradiction again since 0>b
anonymous
  • anonymous
for d u can prove like prev proof for c=0

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