Solve 6x^3y>15 - ScanMath

Evaluate

6 x^{3} y > 15

Rewrite the expression

6 y x^{3} > 15

Divide both sides

\frac{6 y x ^{3}}{6 y} > \frac{15}{6 y}

Divide the numbers

x^{3} > \frac{15}{6 y}

Cancel out the common factor 3

x^{3} > \frac{5}{2 y}

Rewrite the inequalities

{x^{3} > \frac{5}{2 y} y > 0 {x^{3} < \frac{5}{2 y} y < 0

Calculate

More Steps

{x > \frac{3 20 y ^{2}}{2 y} y > 0 {x^{3} < \frac{5}{2 y} y < 0

Calculate

More Steps

{x > \frac{3 20 y ^{2}}{2 y} y > 0 {x < \frac{3 20 y ^{2}}{2 y} y < 0

Rearrange the terms

{x < \frac{3 20 y ^{2}}{2 y} y < 0 {x > \frac{3 20 y ^{2}}{2 y} y > 0

Check if the solution is in the defined range

{x < \frac{3 20 y ^{2}}{2 y} y < 0 {x > \frac{3 20 y ^{2}}{2 y} y > 0, y \neq = 0

Find the intersection of the solution and the defined range

{x < \frac{3 20 y ^{2}}{2 y} y < 0 {x > \frac{3 20 y ^{2}}{2 y} y > 0

Solution

x < \frac{3 20 y ^{2}}{2 y}, y < 0 x > \frac{3 20 y ^{2}}{2 y}, y > 0

Solve the inequality