4k + 15 is greater than -2k + 3

Answer 1

To solve the inequality \( 4k + 15 > -2k + 3 \), follow these steps:

1. First, get all terms involving \( k \) on one side and the constant terms on the other side. You can start by adding \( 2k \) to both sides:

   \[ 4k + 2k + 15 > 3 \]

   This simplifies to:

   \[ 6k + 15 > 3 \]

2. Next, subtract 15 from both sides:

   \[ 6k > 3 - 15 \]

   Which simplifies to:

   \[ 6k > -12 \]

3. Finally, divide both sides by 6:

   \[ k > -2 \]

So, the solution to the inequality is:

\[ k > -2 \]