Question: solve a nonlinear inequality

i have a nonlinear inequality which is plotted using plots:-inequl
can i find an algebric solution for this inequality? for example sth like this : 0.08<t<10 
thnx in advance

 

restart:with(plots):with(Optimization):

with(SolveTools[Inequality]):

k := 1; c := 5; sigma := .85;N=10;

1

 

5

 

.85

 

N = 10

(1)

x:=t->4*exp(-t);

proc (t) options operator, arrow; 4*exp(-t) end proc

(2)

t0:=0.0065:

inequal(sigma*k/(2*c+k)*abs(x(t))<abs(x(t)-x(t0)),t=0..10,x=0..4)

 

 

 

NULL


 

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