Question

solve for k. 5k + 1 ≤ 11 or 3k - 7 > 8 write your answer as a compound inequality with integers.

Explanation:

Step1: Solve first inequality: subtract 1

$5k + 1 - 1 \leq 11 - 1$
$5k \leq 10$

Step2: Divide by 5 for first solution

$k \leq \frac{10}{5}$
$k \leq 2$

Step3: Solve second inequality: add 7

$3k - 7 + 7 > 8 + 7$
$3k > 15$

Step4: Divide by 3 for second solution

$k > \frac{15}{3}$
$k > 5$

Answer:

$k \leq 2$ or $k > 5$