There are only few rules which you have to observe when dealing with unequalities:

a) adding or subtracting a term doesn't change the relation-sign

b) dividing or multiplying by apositiveterm doesn't change the relation-sign

c) calculationg the reziprocal of fractions could change the relation-sign depending of the sign of the fractions in question. Examples:

BUT:

To your questions:

that means x is positive

divide through by -2 (the divisor is negative). The relation-signs have to be changed. Therefore your answer is correct.

. Dividing thriough by+2will yield: