a) adding or subtracting a term doesn't change the relation-sign
b) dividing or multiplying by a positive term 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:
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 +2 will yield: