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Write the compound inequality for 16c and 27c.

A. \(16c \leq c < 27c\)

B. \(16c < c < 27c\)

C. \(16c \leq c \leq 27c\)

D. \(16c < c \leq 27c\)

Answer :

Final answer:

The compound inequality for 16c and 27c is 16c ≤ c < 27c.

Explanation:

The correct compound inequality for the given question is 16c ≤ c < 27c. This means that c is greater than or equal to 16c, but less than 27c.

Let's break it down:

  1. 16c ≤ c: This inequality states that c is greater than or equal to 16c. For example, if c = 5, then 16c = 16(5) = 80, and since c = 5 is greater than or equal to 80, this part of the inequality holds true.
  2. c < 27c: This inequality states that c is less than 27c. For example, if c = 5, then 27c = 27(5) = 135, and since c = 5 is less than 135, this part of the inequality holds true.

So, when we combine these two parts, we get the compound inequality 16c ≤ c < 27c, which represents that c is greater than or equal to 16c, but less than 27c.

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