Question

Help? 2+r/6>-1 and also -5-y/6 ≤1

Answer 1

$2 + \dfrac r6 >-1\\\\\\\implies \dfrac r6 > -1 -2\\\\\\\implies \dfrac r6 > -3\\\\\\\implies r > 6(-3)\\\\\implies r > -18~~~~~; \text{Interval,}~ (-18,\infty)\\\\\\\\-5 - \dfrac y6 \leq 1\\\\\\\implies -\dfrac y6 \leq 1 +5\\\\\\\implies -\dfrac y6 \leq 6\\\\\implies y \geq (-6)6~~~~;[\text{Reverse the inequality when multiplying by a negative number}] \\\\\\\implies y\geq -36~~~~~~;\text{Interval,}~ [-36, \infty)$