Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈∅
Alternative Form
No solution
Evaluate
(x7)27<0(x7)27<0
Separate into two inequalities
{(x×7)×27<0×(x×7)×270×(x×7)×27<0
Remove the parentheses
{x×7×27<0×x×7×270×x×7×27<0
Solve the inequality
More Steps
Evaluate
x×7×27<0×x×7×27
Multiply
More Steps
Evaluate
x×7×27
Multiply the terms
x×189
Use the commutative property to reorder the terms
189x
189x<0×x×7×27
Any expression multiplied by 0 equals 0
189x<0
Rewrite the expression
x<0
{x<00×x×7×27<0
Solve the inequality
More Steps
Evaluate
0×x×7×27<0
Any expression multiplied by 0 equals 0
0<0
The statement is false for any value of x
x∈∅
{x<0x∈∅
Solution
x∈∅
Alternative Form
No solution
Show Solution
