Sin пи/х=-1 1>= /х+10/

Question

Sin пи/х=-1
1>= /х+10/

Answer 1

Sinπ/x = -1 ;
π/x = -π/2 +2πk ;
1/x = -1/2 +2k ;
x =2/(4k -1) , k∈Z.
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1≥|x+10|   или   |x+10| ≤1 ;
-1 ≤ x+10 ≤ 1 ;
-1  -10 ≤ x ≤ 1  -10 ;
-11 ≤ x ≤ -9 иначе  x ∈ [ -11; -9].