Tickbox Quiz 4 #16

For this question, I keep getting it wrong because my most used strategy is choosing numbers. When I chose three different cases of numbers (positive, zero and negative), it always gave me the answer C.

I saw the solution and realized that I had to actually solve it to get the answer.

On the real test, how would I be able to differentiate whether I can plug in numbers or if I have to solve algebraically? Or do I have to do both to be safe that I’m getting the right answer?

P.S The other similar questions like this worked with the choosing numbers strategy so that’s why I used it for this question as well.

LHS becomes |x+5| after simplification and RHS becomes x+5, so we’re comparing those two.

You wanna choose numbers here where x+5 ends up being non-negative, and where x+5 ends up being negative.

So try x=-6 and x=6 or something like that