Answer
a) $v\geq4$
b) $4 \leq v$
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)
$6v + 5 \leq 9v-7$
$6v + 5 (-9v) \leq 9v-7(-9v)$
$-3v +5 \leq -7$
$-3v+5 (-5) \leq -7 (-5)$
$-3v \leq -12$
$-3v \div-3\leq -12\div-3$
$v\geq4$
b)
$6v + 5 \leq 9v-7$
$6v + 5(+7) \leq 9v-7(+7)$
$6v + 12 \leq 9v$
$6v (-6v) + 12 \leq 9v (-6v)$
$12 \leq 3v$
$4 \leq v$
