Question

I need some help with this one question.. thank you!

Answer 1

E

1) Before plotting the solution on the number line, we need to solve this inequality. Looking attentively, we can see that the "a" coefficient is positive.

2) So, let's solve this:

`\begin{gathered} x^2\leq4 \\ \sqrt[]{x^2}\leq\sqrt[]{4} \\ -2\le\: x\le\: 2 \end{gathered}`

To better explain how could we write the solution like this, let's sketch the parabola and the solutions:

Since we want to know the interval that is greater than or lesser than zero we'll pick the roots and the region that yields negative values.

3) On the number line, we can plot this including both zeroes (closed dots):

Hence, the answer is E