Question

translate the sentence into an inequality.
nine increased by the product of a number and 3 is at least -25.
use the variable c for the unknown number.

Explanation:

Step1: Identify the product of a number and 3

The product of the variable \( c \) (the unknown number) and 3 is \( 3c \).

Step2: Identify "nine increased by" the product

Nine increased by \( 3c \) is \( 9 + 3c \).

Step3: Translate "is at least -25"

"Is at least" means greater than or equal to, so we use the symbol \( \geq \). So the inequality is \( 9 + 3c \geq -25 \).

Answer:

\( 9 + 3c \geq -25 \)