Answer:
[tex]n\le -14.[/tex]
Step-by-step explanation:
The statement "-78 IS GREATER THAN OR EQUAL TO - 8 +5n" mathematically can be written as
[tex]-78\ge -8+5n.[/tex]
Add 8:
[tex]-78+8\ge -8+8+5n,\\ \\-70\ge 5n.[/tex]
Divide by 5:
[tex]-\dfrac{70}{5}\ge n,\\ \\-14\ge n[/tex]
or
[tex]n\le -14.[/tex]