To solve the inequality \(3(x + 4) \ge 2x + 5\), we can start by distributing on the left side:
\[ 3x + 12 \ge 2x + 5 \]
Next, we can isolate \(x\) by subtracting \(2x\) from both sides:
\[ 3x - 2x + 12 \ge 5 \]
This simplifies to:
\[ x + 12 \ge 5 \]
Next, we subtract 12 from both sides:
\[ x \ge 5 - 12 \]
This further simplifies to:
\[ x \ge -7 \]
So, the solution set is:
\[ x \ge -7 \]
Now, checking the options provided, the correct answer matches:
C) \(x \ge -7\).
1 answer