Question

Solve the inequality.

15 + 12c ≥ 9(c + 15)


c ≥ 40


c ≥ 50


c ≥ –40


c ≥ 45

Answer 1

To solve the inequality \( 15 + 12c \geq 9(c + 15) \), we can start by distributing the right-hand side:

\[
15 + 12c \geq 9c + 135
\]

Next, we can subtract \( 9c \) from both sides:

\[
15 + 12c - 9c \geq 135
\]

This simplifies to:

\[
15 + 3c \geq 135
\]

Now, we can subtract 15 from both sides:

\[
3c \geq 120
\]

Now, divide both sides by 3:

\[
c \geq 40
\]

So, the solution to the inequality is \( c \geq 40 \).

Hence, the correct answer is:

**c ≥ 40**