Solve 27>t^31 - ScanMath

Evaluate

27 > t^{3} \times 1

Any expression multiplied by 1 remains the same

27 > t^{3}

Move the expression to the left side

27 - t^{3} > 0

Rewrite the expression

27 - t^{3} = 0

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

- t^{3} = 0 - 27

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

- t^{3} = - 27

Change the signs on both sides of the equation

t^{3} = 27

Take the 3 -th root on both sides of the equation

3 t^{3} = 327

Calculate

t = 327

Evaluate the root

More Steps

t = 3

Determine the test intervals using the critical values

t < 3 t > 3

Choose a value form each interval

t_{1} = 2 t_{2} = 4

To determine if t < 3 is the solution to the inequality,test if the chosen value t = 2 satisfies the initial inequality

More Steps

t < 3 is the solution t_{2} = 4

To determine if t > 3 is the solution to the inequality,test if the chosen value t = 4 satisfies the initial inequality

More Steps

t < 3 is the solution t > 3 is not a solution

Solution

t < 3

Alternative Form

t \in (- \infty, 3)

Solve the inequality