Final answer:
The inequality -6x ≥ 30, when solved for x, leads to the equivalent inequality of x ≤ -5. Therefore, answer D, x < -5, is the correct equivalent inequality.
Step-by-step explanation:
The inequality in question is -6x ≥ 30. To solve for x, we divide both sides by -6, which reverses the inequality symbol. Therefore, we get x ≤ -5. So, the equivalent inequality is D, x < -5.
To clarify, when dividing or multiplying both sides of an inequality by a negative number, the inequality sign must be flipped. In this case, we have:
Original inequality: -6x ≥ 30
Divide both sides by -6: x ≤ -5
So, the correct answer is:
D, x < -5