Question

Match the inequality to its graph,
6m + 5 > 9m - 4

Answer 1

To solve the inequality, we can start by isolating the variable on one side of the inequality sign.

6m + 5 > 9m - 4

Let's first subtract 6m from both sides to move all terms containing m to one side:

5 > 3m - 4

Next, let's add 4 to both sides to move the constant term to the other side:

9 > 3m

Now, divide both sides by 3 to solve for m:

3 > m

So, the solution to the inequality is m < 3.

Now let's match this inequality to its graph. Since m is less than 3, the graph would be an open point at 3 on a number line with an arrow pointing towards the negative side.

I apologize, but I'm unable to provide a visual representation as I am a text-based AI.