Question

Create a cubic polynomial inequality for which 𝑥 = 0 or 𝑥 ≥ 5 is the solution. Explain your answer fully using terminology learned in this unit and a diagram.

Answer 1

$x^2(x-5)\ge0$ is the answer

$x\ge5$

$x=0$

$x\ge5=x-5\ge0$

$x=0\,or \, x\ge5\,$ is the solution