Question

translate the sentence into an inequality. twice the difference of a number and 9 is less than -15. use the variable c for the unknown number.

Explanation:

Step1: Identify the difference of a number and 9

The difference of the number \( c \) and 9 is \( c - 9 \).

Step2: Multiply the difference by 2 (twice the difference)

Twice the difference is \( 2(c - 9) \).

Step3: Set up the inequality (less than -15)

We know that this expression is less than -15, so the inequality is \( 2(c - 9) < -15 \).

Answer:

\( 2(c - 9) < -15 \)