inequalities help

[amanaazim]

hey i just wanted to ask that when do you flip the inequality sign in a question. Isn't it when  you are dividing by a negative number or multiplying by a negative number.
for example this question

49-13x/2 > 5     what is the answer for it (note the slash represents division so 49-13x is divided by 2 which is greater then 5). so basically i did the question working out below.



49-13x>5x2
49-13x>10
-13x>10-49
-13x>-39

so after this do i flip the sign since i am dividing by a negative ?

[Evolio]

Yes, you do.