## Algebra 1

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.)
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) $6v + 5 \leq 9v-7$ $6v + 5(+7) \leq 9v-7(+7)$ $6v + 12 \leq 9v$ $6v (-6v) + 12 \leq 9v (-6v)$ $12 \leq 3v$ $4 \leq v$