Question
0<x(x1)<1
Solve the inequality
x∈∅
Alternative Form
No solution
Evaluate
0<x(x1)<1
Separate into two inequalities
{0<x×x1x×x1<1
Solve the inequality
More Steps

Evaluate
0<x×x1
Multiply the terms
More Steps

Multiply the terms
x×x1
Cancel out the common factor x
1×1
Multiply the terms
1
0<1
The statement is true for any value of x
x∈R
{x∈Rx×x1<1
Solve the inequality
More Steps

Evaluate
x×x1<1
Multiply the terms
More Steps

Multiply the terms
x×x1
Cancel out the common factor x
1×1
Multiply the terms
1
1<1
The statement is false for any value of x
x∈∅
{x∈Rx∈∅
Solution
x∈∅
Alternative Form
No solution
Show Solution
