How do you solve(factor):: 1/3(3x-6)^3+4<13
To solve the inequality 1/3(3x-6)^3 + 4 < 13, we will follow these steps:
Step 1: Subtract 4 from both sides of the inequality:
1/3(3x-6)^3 < 9
Step 2: Multiply both sides of the inequality by 3:
(3x-6)^3 < 27
Step 3: Take the cube root of both sides of the inequality:
∛((3x-6)^3) < ∛27
Step 4: Simplify both sides:
3x - 6 < 3
Step 5: Add 6 to both sides:
3x < 9
Step 6: Divide both sides by 3:
x < 3
Therefore, the solution to the inequality 1/3(3x-6)^3 + 4 < 13 is x < 3.