Ex15.mw

> Exercice 15

> restart;

> Equation1:=5/2>abs(x+1):Equation2:=sqrt(x^2+x-2)>1+x/2:sol1:=solve(Equation1,x):sol2:=solve(Equation2,x):

> Equation1;sol1;

abs(x+1) < 5/2

RealRange(Open((-7)/2), Open(3/2))

> Equation2;sol2;

1+1/2*x < (x^2+x-2)^(1/2)

RealRange(-infinity, Open(-2)), RealRange(Open(2), infinity)

> Equation:={5/2>abs(x+1),sqrt(x^2+x-2)>1+x/2};Solution=solve(Equation,x);

Equation := {1+1/2*x < (x^2+x-2)^(1/2), abs(x+1) < 5/2}

Solution = {(-7)/2 < x, x < -2}

>