solve for k.\n10 ≤ -1k + 9

Explanation:

Step1: Subtract 9 from both sides

$$10 - 9\leq -k+9 - 9$$ $$1\leq -k$$

Step2: Multiply both sides by - 1 and reverse the inequality sign

When multiplying or dividing an inequality by a negative number, the inequality sign flips. $$1\times(-1)\geq(-k)\times(-1)$$ $$- 1\geq k$$

Answer:

$k\leq - 1$