Final answer:
To solve the inequality 7.9x ≤ 0, divide both sides by 7.9 to isolate x. The correct inequality is x ≤ 0.
Step-by-step explanation:
To solve the inequality 7.9x ≤ 0, we need to isolate x on one side of the inequality symbol. Since 7.9 is a positive number, we can divide both sides of the inequality by 7.9 without changing the direction of the inequality. Dividing both sides by 7.9, we get:
x ≤ 0/7.9
Simplifying, we have:
x ≤ 0
Therefore, the correct inequality is x ≤ 0, represented as option D.