Question

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D=(x∈Z I x⋮15,12; -200<x<200)

Answer 1

\(15=3\cdot5;12=2^2\cdot3\)

=>\(BCNN\left(15;12\right)=2^2\cdot3\cdot5=60\)

\(x⋮15;x⋮12\)

=>\(x\in BC\left(15;12\right)\)

=>\(x\in B\left(60\right)\)

=>\(x\in\left\{...;-240;-180;-120;-60;0;60;120;180;240;...\right\}\)

mà -200<x<200

nên \(x\in\left\{-180;-120;-60;0;60;120;180\right\}\)

=>D={-180;-120;-60;0;60;120;180}