Answer
a) v≥4
b) 4≤v
c) They are the same
d) I prefer option B so I don't have to flip the inequality sign. (Answers may vary, though.)
Work Step by Step
a)
6v+5≤9v−7
6v+5(−9v)≤9v−7(−9v)
−3v+5≤−7
−3v+5(−5)≤−7(−5)
−3v≤−12
−3v÷−3≤−12÷−3
v≥4
b)
6v+5≤9v−7
6v+5(+7)≤9v−7(+7)
6v+12≤9v
6v(−6v)+12≤9v(−6v)
12≤3v
4≤v