Question

What is 1/3(3x-6)^3+4<13​

Answer 1

Answer:

$x$

Step-by-step explanation:

$\frac{1}{3}(3x-6)^3+4$

Solving the inequality to have solutions for $x$

Subtracting 4 from both sides.

⇒ $\frac{1}{3}(3x-6)^3+4-4$

⇒ $\frac{1}{3}(3x-6)^3$

Multiplying 3 both sides to remove fraction.

⇒ $3\times \frac{1}{3}(3x-6)^3$

⇒ $(3x-6)^3$

Taking cube root both sides to remove the cube.

⇒ $\sqrt[3]{(3x-6)^3}$

⇒ $(3x-6)$                [ ∵ $\sqrt[3]{27} =3$ ]

Adding 6 to both sides.

⇒ $3x-6+6$

⇒ $3x$

Dividing both sides by $3$

⇒ $\frac{3x}{3}$

∴ $x$