Question

solve \\(\frac{n}{-4} < 5\\)
the solution is \\(\square\\).

Explanation:

Step1: Multiply both sides by -4

When multiplying an inequality by a negative number, the inequality sign flips. So, $\frac{n}{-4} \times (-4) > 5 \times (-4)$ (note the flip from < to >).
Simplifying gives $n > -20$.

Step2: Represent on number line

The solution $n > -20$ means we have an open circle at -20 (since -20 is not included) and an arrow pointing to the right (for values greater than -20).

Answer:

$n > -20$ (represented as an open circle at -20 with a right - pointing arrow on the number line)