[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]
[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]
