Question

solve the inequality.
8 + k ≤ -3
the solution is k ≤ -11
graph the solution.

Explanation:

Step1: Isolate the variable

Subtract 8 from both sides of the inequality \(8 + k\leq - 3\).
\(8 + k-8\leq - 3-8\)

Step2: Simplify

Simplify both sides of the inequality.
\(k\leq - 11\)

Answer:

The solution is \(k\leq - 11\). On the number - line, we place a closed - circle at \(-11\) (because the inequality is \(\leq\), meaning \(-11\) is included in the solution set) and draw an arrow to the left (since \(k\) is less than or equal to \(-11\)).