Question

solve the linear inequality for k. graph your answer in the number line. then write the solution in inequality notation.
-25 ≤ 5k
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Isolate the variable k

Divide both sides of the inequality $- 25\leq5k$ by 5. Since 5 is positive, the direction of the inequality sign remains the same. So, $\frac{-25}{5}\leq\frac{5k}{5}$.

Step2: Simplify the expressions

We get $- 5\leq k$, which can also be written as $k\geq - 5$.

Answer:

The solution in inequality notation is $k\geq - 5$. On the number - line, we have a closed circle at - 5 (because the inequality is $\geq$) and the line extends to the right.