Question

translate the sentence into an inequality. the sum of a number times 6 and 28 is less than -18. use the variable y for the unknown number.

Explanation:

Step1: Identify the unknown and operations

Let the unknown number be \( y \). "A number times 6" is \( 6y \). "The sum of a number times 6 and 28" is \( 6y + 28 \).

Step2: Translate "is less than -18"

"Is less than" translates to the inequality symbol \( < \), so we set up the inequality as \( 6y + 28 < -18 \).

Answer:

\( 6y + 28 < -18 \)