Ex13.mw

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> Exercice 13

> restart;

> Equation:=abs(x+1)<0.1;Solution=solve(Equation,x);

Equation := abs(x+1) < .1

Solution = RealRange(Open(-1.100000000), Open(-.9000000000))

> Equation:=abs(x-2)>10;Solution=solve(Equation,x);

Equation := 10 < abs(x-2)

Solution = (RealRange(Open(12), infinity), RealRange(-infinity, Open(-8)))

> Equation:=abs(x)<abs(x+1);Solution=solve(Equation,x);

Equation := abs(x) < abs(x+1)

Solution = RealRange(Open((-1)/2), infinity)

> Equation:=abs(2*x-1)<abs(x-1);Solution=solve(Equation,x);

Equation := abs(2*x-1) < abs(x-1)

Solution = RealRange(Open(0), Open(2/3))

> Equation:=abs(abs(x+3)-1)<=2;Solution=solve(Equation,x);

Equation := abs(abs(x+3)-1) <= 2

Solution = RealRange(-6, 0)

> Equation:=(x-1)/(x+2)>=3;Solution=solve(Equation,x);

Equation := 3 <= (x-1)/(x+2)

Solution = RealRange((-7)/2, Open(-2))

> Equation:=sqrt(x-3)-sqrt(2*x+1)<=4;Solution=solve(Equation,x);

Equation := (x-3)^(1/2)-(2*x+1)^(1/2) <= 4

Solution = RealRange(3, infinity)

> Equation:=sqrt( x**2-2*x+3 )<=x-1;Solution=solve( Equation );

Equation := (x^2-2*x+3)^(1/2) <= x-1

Solution = x