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saifoo.khan

  • 2 years ago

a,b,c,d and e are all integers where a<b<c<d<e if c,d and e are each greater than the product of the next two smaller values(for example d>bc) and e=6 which of the following could equal zero?

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  1. saifoo.khan
    • 2 years ago
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    A)a only B)b only C)b or c only D)a,b and c only E)a,b,c,or d only

  2. problemsolver
    • 2 years ago
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    i would hazard a guess at B)

  3. mukushla
    • 2 years ago
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    b or c only -1<1<0<2<6 -1<0<1<2<6

  4. saifoo.khan
    • 2 years ago
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    \[Guess = \checkmark\]

  5. mukushla
    • 2 years ago
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    wait ... i made a mistake...

  6. mukushla
    • 2 years ago
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    problemsolver is right...only b

  7. problemsolver
    • 2 years ago
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    sequence can be like -2,0,2,3,6

  8. mukushla
    • 2 years ago
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    nope ...... 6=2*3

  9. mukushla
    • 2 years ago
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    -1<0<1<2<6

  10. problemsolver
    • 2 years ago
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    oops ... will be -3 , 0 , 1,2 ,6

  11. saifoo.khan
    • 2 years ago
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    How so?

  12. mukushla
    • 2 years ago
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    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

  13. saifoo.khan
    • 2 years ago
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    Ah, i see..

  14. mukushla
    • 2 years ago
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    if c=0 then a must be negative and b must be positive this is contradiction again since 0>b

  15. mukushla
    • 2 years ago
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    for d u can prove like prev proof for c=0

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