Solve y<3x^3 - ScanMath

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Type your math problem... y<3x^3

x

Question

Solve the inequality

x > \frac{3 9 y}{3}

Evaluate

y < 3 x^{3}

Swap the sides of the inequality

3 x^{3} > y

Divide both sides

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

Divide the numbers

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

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

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

Calculate

x > 3 \frac{y}{3}

Solution

More Steps

Evaluate

3 \frac{y}{3}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 y}{3 3}

Multiply by the Conjugate

\frac{3 y \times 3 3 ^{2}}{3 3 \times 3 3 ^{2}}

Calculate

\frac{3 y \times 3 3 ^{2}}{3}

Calculate

More Steps

Evaluate

3 y \times 3 3^{2}

The product of roots with the same index is equal to the root of the product

3 y \times 3^{2}

Calculate the product

3 3^{2} y

\frac{3 3 ^{2} y}{3}

Calculate

\frac{3 9 y}{3}

x > \frac{3 9 y}{3}

Show Solution

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