Question

how do I find all of the following that can be a counterexample for the statement below?

Answer 1

As we need to select counterexamples, we have to select all the options that make the statement x+2>7 a FALSE statement.

Then, we can rearrange:

$\begin{gathered} x+2>7 \\ x>7-2 \\ x>5 \end{gathered}$

We have to select all the options where x is NOT greater than 5: -2, 0, 3, 4.

The options -2, 0, 3, 4 have to be selected.