Solve t^5<9 - ScanMath

Evaluate

t^{5} < 9

Move the expression to the left side

t^{5} - 9 < 0

Rewrite the expression

t^{5} - 9 = 0

Move the constant to the right-hand side and change its sign

t^{5} = 0 + 9

Removing 0 doesn't change the value,so remove it from the expression

t^{5} = 9

Take the 5 -th root on both sides of the equation

5 t^{5} = 59

Calculate

t = 59

Determine the test intervals using the critical values

t < 59 t > 59

Choose a value form each interval

t_{1} = 1 t_{2} = 3

To determine if t < 59 is the solution to the inequality,test if the chosen value t = 1 satisfies the initial inequality

More Steps

t < 59 is the solution t_{2} = 3

To determine if t > 59 is the solution to the inequality,test if the chosen value t = 3 satisfies the initial inequality

More Steps

t < 59 is the solution t > 59 is not a solution

Solution

t < 59

Alternative Form

t \in (- \infty, 59)

Solve the inequality