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How many integers $n$ satisfy $-4n\ge 12$ and $n+5>2$??

Answer :

LAMMETTHASHGO

-4n ≥ 12   ==>   n ≤ -3

n + 5 > 2   ==>   n > -3

But n cannot be both less than/equal to -3 AND greater than -3, so there are no integers n that satisfy these inequalities.

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