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x-Z-A-R-A-4-3-x-4-x-

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Question Number 10232 by konen last updated on 30/Jan/17
x∈Z, A∈R A=^4 (√(3−∣x−4∣)) ⇒Σx=?
x∈Z,A∈RA=43−∣x−4∣⇒Σx=?
Answered by mrW1 last updated on 30/Jan/17
A∈R ⇒ 3−∣x−4∣≥0 ∣x−4∣≤3 −3≤x−4≤3 1≤x≤7 since x∈Z ⇒ Σx=Σ_(i=1) ^7 i=((7×8)/2)=28
A∈R⇒3−∣x−4∣⩾0∣x−4∣⩽3−3⩽x−4⩽31⩽x⩽7sincex∈Z⇒Σx=∑7i=1i=7×82=28

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