Solve x^3<10 - ScanMath

Evaluate

x^{3} < 10

Move the expression to the left side

x^{3} - 10 < 0

Rewrite the expression

x^{3} - 10 = 0

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

x^{3} = 0 + 10

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

x^{3} = 10

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

3 x^{3} = 310

Calculate

x = 310

Determine the test intervals using the critical values

x < 310 x > 310

Choose a value form each interval

x_{1} = 1 x_{2} = 3

To determine if x < 310 is the solution to the inequality,test if the chosen value x = 1 satisfies the initial inequality

More Steps

x < 310 is the solution x_{2} = 3

To determine if x > 310 is the solution to the inequality,test if the chosen value x = 3 satisfies the initial inequality

More Steps

x < 310 is the solution x > 310 is not a solution

Solution

x < 310

Alternative Form

x \in (- \infty, 310)

Solve the inequality