Question
Solve the inequality
Solve the inequality by testing the values in the interval
Solve for v
v>515
Alternative Form
v∈(515,+∞)
Evaluate
v5>15
Move the expression to the left side
v5−15>0
Rewrite the expression
v5−15=0
Move the constant to the right-hand side and change its sign
v5=0+15
Removing 0 doesn't change the value,so remove it from the expression
v5=15
Take the 5-th root on both sides of the equation
5v5=515
Calculate
v=515
Determine the test intervals using the critical values
v<515v>515
Choose a value form each interval
v1=1v2=3
To determine if v<515 is the solution to the inequality,test if the chosen value v=1 satisfies the initial inequality
More Steps

Evaluate
15>15
1 raised to any power equals to 1
1>15
Check the inequality
false
v<515 is not a solutionv2=3
To determine if v>515 is the solution to the inequality,test if the chosen value v=3 satisfies the initial inequality
More Steps

Evaluate
35>15
Calculate
243>15
Check the inequality
true
v<515 is not a solutionv>515 is the solution
Solution
v>515
Alternative Form
v∈(515,+∞)
Show Solution
