Solve 20>c^3 - ScanMath

Evaluate

20 > c^{3}

Move the expression to the left side

20 - c^{3} > 0

Rewrite the expression

20 - c^{3} = 0

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

- c^{3} = 0 - 20

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

- c^{3} = - 20

Change the signs on both sides of the equation

c^{3} = 20

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

3 c^{3} = 320

Calculate

c = 320

Determine the test intervals using the critical values

c < 320 c > 320

Choose a value form each interval

c_{1} = 2 c_{2} = 4

To determine if c < 320 is the solution to the inequality,test if the chosen value c = 2 satisfies the initial inequality

More Steps

c < 320 is the solution c_{2} = 4

To determine if c > 320 is the solution to the inequality,test if the chosen value c = 4 satisfies the initial inequality

More Steps

c < 320 is the solution c > 320 is not a solution

Solution

c < 320

Alternative Form

c \in (- \infty, 320)

Solve the inequality