Question

solve the inequality. graph the solution.
-5n ≤ 15
the solution is n ≤ -3 ×.

Explanation:

Step1: Divide both sides by -5

When dividing an inequality by a negative number, the direction of the inequality sign changes.
$$\frac{-5n}{-5}\geq\frac{15}{-5}$$

Step2: Simplify

Simplify the left - hand side to get \(n\) and the right - hand side to get \(-3\).
$$n\geq - 3$$

Answer:

The solution is \(n\geq - 3\). To graph the solution: Place a closed circle at \(-3\) (because the inequality is \(\geq\), so \(-3\) is included in the solution set) and draw an arrow to the right (since \(n\) is greater than or equal to \(-3\)).