Question

solve the linear inequality for k. graph your answer in the number line. then write the solution in inequality notation.
-1 - \frac{k}{3} < -6
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Add 1 to both sides

$-1-\frac{k}{3}+1 < -6 + 1$
$-\frac{k}{3} < -5$

Step2: Multiply both sides by -3 and reverse the inequality sign

$(-3)\times(-\frac{k}{3})>(-3)\times(-5)$
$k > 15$

Answer:

$k>15$