Question

an inequality is shown.
$1.2d \geq 24$
which list of values for $d$ will make this inequality true?
a $10, 15, 18$
b $2, 5, 8$
c $2, 20, 200$
d $20, 28, 30$

Explanation:

Step1: Solve the inequality for d

Divide both sides by 1.2:
$$d \geq \frac{24}{1.2}$$
$$d \geq 20$$

Step2: Check each option

Verify if all values in each list are ≥20:

• Option A: 10,15,18 <20 → False
• Option B: 2,5,8 <20 → False
• Option C: 2 <20 → False
• Option D: 20,28,30 ≥20 → True

Answer:

D. 20, 28, 30