please explain this equation
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Step-by-step explanation:
♦ Given ♦ :-
♦To find ♦ :-
♦ Solution ♦ :-
Given Inequality is (2/3) > 4 + (2-5x)/4
On subtracting 4 from both sides then
= (2/3) - 4 > 4 - 4 + (2-5x)/4
= (2-12)/3 > 0 + (2-5x)/4
= (-10/3) > (2-5x)/4
On multiplying with 4 both sides
= (-10/3)× 4 > 4 × (2-5x)/4
= (-40/3) > (2-5x)
On subtracting 2 from both sides
= (-40/3)-2 > 2-2-5x
= (-40-6)/3 > - 5x
= (-46/3) > -5x
= 46/3 < 5 x
On dividing by 5 both sides then
= 46/(3×5) < (5x/5)
= (46/15) < x
= x > 46/15
The possible values of x = 3,4,5,...
Since , x belongs to the set of Integers
♦ Answer ♦ :-
The solution set for the given inequality is
x = { 3,4,5,...}