Question

question
solve the following inequality for k. write your answer in simplest form.
10k + 6 ≥ 6k - 9
answer attempt 1 out of 1
k < -

Explanation:

Step1: Subtract $6k$ from both sides

$10k + 6 - 6k \geq 6k - 9 - 6k$
$4k + 6 \geq -9$

Step2: Subtract 6 from both sides

$4k + 6 - 6 \geq -9 - 6$
$4k \geq -15$

Step3: Divide by 4 on both sides

$\frac{4k}{4} \geq \frac{-15}{4}$
$k \geq -\frac{15}{4}$

Answer:

$k \geq -\frac{15}{4}$ (or $k \geq -3.75$)