What is the solution set for `3\left(x+4\right)\ge2x+5`?

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To solve this inequality, we first simplify the left side:

\begin{align*}
3(x+4) &\ge 2x + 5 \\
3x + 12 &\ge 2x + 5.
\end{align*}

Next, we isolate the variable terms on one side and the constant terms on the other side:

\begin{align*}
3x - 2x &\ge 5 - 12 \\
x &\ge -7.
\end{align*}

The solution set for this inequality is $x \ge -7$.

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