Question

translate the sentence into an inequality.
three times the sum of a number and 15 is at least 23.
use the variable c for the unknown number.

Explanation:

Step1: Identify the sum

The sum of a number \( c \) and 15 is \( c + 15 \).

Step2: Multiply by three

Three times that sum is \( 3 \times (c + 15) \), which can be written as \( 3(c + 15) \).

Step3: Interpret "at least"

"At least" means greater than or equal to, so we use the inequality symbol \( \geq \).

Step4: Form the inequality

Putting it all together, three times the sum of \( c \) and 15 is at least 23 translates to \( 3(c + 15) \geq 23 \).

Answer:

\( 3(c + 15) \geq 23 \)