Solve -x^7/2 >0 - ScanMath

Evaluate

- \frac{x ^{7}}{2} > 0

Change the signs on both sides of the inequality and flip the inequality sign

\frac{x ^{7}}{2} < 0

Multiply both sides of the inequality by 2

\frac{x ^{7}}{2} \times 2 < 0 \times 2

Multiply the terms

x^{7} < 0 \times 2

Multiply the terms

x^{7} < 0

Rewrite the expression

x^{7} = 0

Find the critical values by solving the corresponding equation

x = 0

Determine the test intervals using the critical values

x < 0 x > 0

Choose a value form each interval

x_{1} = - 1 x_{2} = 1

To determine if x < 0 is the solution to the inequality,test if the chosen value x = - 1 satisfies the initial inequality

More Steps

x < 0 is the solution x_{2} = 1

To determine if x > 0 is the solution to the inequality,test if the chosen value x = 1 satisfies the initial inequality

More Steps

x < 0 is the solution x > 0 is not a solution

Solution

x < 0

Alternative Form

x \in (- \infty, 0)

Solve the inequality