Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
p<0
Alternative Form
p∈(−∞,0)
Evaluate
p2>p0>p1
Separate into two inequalities
{p2>p×0p×0>p×1
Solve the inequality
More Steps
Evaluate
p2>p×0
Any expression multiplied by 0 equals 0
p2>0
Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of p,except when p2=0
p2=0
The only way a power can be 0 is when the base equals 0
p=0
Exclude the impossible values of p
p=0
{p=0p×0>p×1
Solve the inequality
More Steps
Evaluate
p×0>p×1
Any expression multiplied by 0 equals 0
0>p×1
Any expression multiplied by 1 remains the same
0>p
Swap the sides of the inequality
p<0
{p=0p<0
Solution
p<0
Alternative Form
p∈(−∞,0)
Show Solution
