Solve 3(r^5)>6 - ScanMath

Evaluate

3 r^{5} > 6

Move the expression to the left side

3 r^{5} - 6 > 0

Rewrite the expression

3 r^{5} - 6 = 0

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

3 r^{5} = 0 + 6

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

3 r^{5} = 6

Divide both sides

\frac{3 r ^{5}}{3} = \frac{6}{3}

Divide the numbers

r^{5} = \frac{6}{3}

Divide the numbers

More Steps

r^{5} = 2

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

5 r^{5} = 52

Calculate

r = 52

Determine the test intervals using the critical values

r < 52 r > 52

Choose a value form each interval

r_{1} = 0 r_{2} = 2

To determine if r < 52 is the solution to the inequality,test if the chosen value r = 0 satisfies the initial inequality

More Steps

r < 52 is not a solution r_{2} = 2

To determine if r > 52 is the solution to the inequality,test if the chosen value r = 2 satisfies the initial inequality

More Steps

r < 52 is not a solution r > 52 is the solution

Solution

r > 52

Alternative Form

r \in (52, + \infty)

Solve the inequality