Question

I missed a lesson with my teacher can you help

Answer 1

First, let's translate the sentence "The opposite of x is greater than or equal to 2".

The sentence "the opposite of x" means negative x, that is, "-x".

If this value is greater than or equal to 2, we can write this inequality:

`-x\ge2`

Let's multiply the inequality by -1, changing the signal to "lesser than or equal to":

`\begin{gathered} -x\ge2 \\ x\le-2 \end{gathered}`

Two possible values for x would be -3 and -4, which are values lesser than -2.

Two values that x cannot be would be -1 and 0, which are values greater than -2.

What is true about all possible values of x is that all possible values of x are negative values.