Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
Solve the inequality by testing the values in the interval
Solve for x
x>0
Alternative Form
x∈(0,+∞)
Evaluate
0<x2×x
Multiply the terms
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
0<x3
Move the expression to the left side
0−x3<0
Removing 0 doesn't change the value,so remove it from the expression
−x3<0
Rewrite the expression
−x3=0
Change the signs on both sides of the equation
x3=0
The only way a power can be 0 is when the base equals 0
x=0
Determine the test intervals using the critical values
x<0x>0
Choose a value form each interval
x1=−1x2=1
To determine if x<0 is the solution to the inequality,test if the chosen value x=−1 satisfies the initial inequality
More Steps
Evaluate
0<(−1)3
Calculate
0<−1
Check the inequality
false
x<0 is not a solutionx2=1
To determine if x>0 is the solution to the inequality,test if the chosen value x=1 satisfies the initial inequality
More Steps
Evaluate
0<13
1 raised to any power equals to 1
0<1
Check the inequality
true
x<0 is not a solutionx>0 is the solution
Solution
x>0
Alternative Form
x∈(0,+∞)
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