Question

to make a small vase, elisa uses no more than 4.5 ounces of clay. to make a large vase, she uses at least 12 ounces of clay. which compound inequality represents the number of ounces of clay, c, that elisa uses to make one vase of either size?
○ 4.5 < c < 12
○ 4.5 ≤ c ≤ 12
○ c < 4.5 or c > 12
○ c ≤ 4.5 or c ≥ 12

Explanation:

Step1: Analyze small vase clay usage

For a small vase, Elisa uses no more than 4.5 ounces. "No more than" means \( c \leq 4.5 \).

Step2: Analyze large vase clay usage

For a large vase, she uses at least 12 ounces. "At least" means \( c \geq 12 \).

Step3: Determine compound inequality

Since the vase is either small or large, we use "or" to combine the two inequalities. So the compound inequality is \( c \leq 4.5 \) or \( c \geq 12 \).

Answer:

D. \( c \leq 4.5 \) or \( c \geq 12 \)