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If x e z, find the solution set of -4(x+5)>10​

Answer»

:-The solution set = { x ∈ Z : x > -15/2 }Step-by-step explanation :-To Find :-The solution set of the inequationSolution :-⟹ -4 ( x + 5 ) > 10⟹ -4x - 20 > 10⟹ -4x > 10 + 20⟹ -4x > 30⟹ -4x * ( -1 ) > 30 * ( -1 )⟹ 4x > -30⟹ x > -30/4⟹ x > -15/4The required number is -15/4.According the question,The solution set of -4( x + 5 ) > 10 is,{ x ∈ Z : x > -15/2 }More InformationSome more information related to linear inequation :-We should USE these following notations on:N = Set of all NATURAL numbersZ = Set of all integersW = Set of all whole numbersQ = Set of all rational numbersZ^+ = Set of all postive integersZ^- = Set of all negative integers.



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