Solve k^3≤3 - ScanMath

Evaluate

k^{3} \leq 3

Move the expression to the left side

k^{3} - 3 \leq 0

Rewrite the expression

k^{3} - 3 = 0

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

k^{3} = 0 + 3

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

k^{3} = 3

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

3 k^{3} = 33

Calculate

k = 33

Determine the test intervals using the critical values

k < 33 k > 33

Choose a value form each interval

k_{1} = 0 k_{2} = 2

To determine if k < 33 is the solution to the inequality,test if the chosen value k = 0 satisfies the initial inequality

More Steps

k < 33 is the solution k_{2} = 2

To determine if k > 33 is the solution to the inequality,test if the chosen value k = 2 satisfies the initial inequality

More Steps

k < 33 is the solution k > 33 is not a solution

The original inequality is a nonstrict inequality,so include the critical value in the solution

k \leq 33 is the solution

Solution

k \leq 33

Alternative Form

k \in (- \infty, 33]

Solve the inequality