Question

Graph the inequality x > 3.

Answer 1

The graph would look like first one, or like this: 

Hope this helped! c:

Answer 2

Hey!


I hope you don't mind, but before we go into what the answer is I'd like to make sure you understand how to graph an inequality like this.

QUICK REVIEW

When plotting 'regular' points on a number line we are usually given a number such as, let's say 3. If your teacher tells you to plot the number 3 on a number line, naturally you'd look for the number 3 and simply plot your point. But what you probably didn't know is that by doing just that you are also plotting an inequality. "How is that an inequality," you many ask. Well, in that situation your inequality would be x = 3. The only reason we didn't add an arrow is because x equals exactly 3.

Now when being told to graph an inequality on a number line we are given more than just a number. We are given a variable and a symbol. So, let's say your teacher tells you to graph the inequality x < 5. We'd first have to write out our number line and plot the given number. But we do not close the circle when graphing it because it is not this $( \leq )$ type of inequality. In this case we'd plot our point at 5.

When it comes to finding the direction of the arrow, just remember that if the sign has its "teeth" facing right, then your arrow is going to go to the left. And if the symbols "teeth" are facing left then your arrow is going to go to the right.

END QUICK REVIEW

Now that we reviewed, let's get on to solving this inequality.

Given Inequality :
x > 3

So the given number in the inequality is 3 so that's where we'll plot our point.

REMEMBER TO PLOT IT WITH AN OPEN POINT!

Now we need to find the direction of the arrow. Since the "teeth" of the symbol are facing left, this means our arrow will be going right.

So, this means the correct inequality to x > 3 is  the first number line.

Hope this helps!


- Lindsey Frazier ♥