Is there a value of which satisfies the statement? How you can tell without finding, or attempting to find, the value.

Question

Is there a value of which satisfies the statement? How you can tell without finding, or attempting to find, the value.

(2x+9) = - (-2-10)

1- Yes, because (2x+9) is always positive

2- Yes, because (2x+9) is always negative

3- Yes, because -(-2-10) is always positive

4- No, because 2x+9 is always greater than 12

5- No, because -(-2-10) is always negative

Answer 1

You seem to be using parentheses to mean absolute value. If so, then

5 is correct. the left side is always non-negative, the right side always negative, so there is no way they can be equal regardless what value x is.

Answer 2

Yes, but don’t fully understand the qualifiers listed, 2 is definitely incorrect, I guess 1 is the best answer as 3 is obviously always true but does really relate to the statement