00:01
The first thing we're being asked to do in this problem is solve the given inequality.
00:04
Well, we solve inequalities just like we would equations.
00:07
So i'm going to start by dividing both sides of our inequality by 12.
00:12
Now, we can't divide negative 12 by 21 evenly, but we can reduce it by dividing the numerator and denominator by 3, which will give us negative 7 over 4.
00:23
So now we've solved the inequality.
00:25
Next, we have to graph this on number line.
00:28
Now, think about what you know about negative 7 over 4.
00:32
That would be approximately negative 2 and 3 4s.
00:35
But the nice thing about graphing on the number line, you only really need that solution number on your number line.
00:41
So i'm going to have negative 7 .4s.
00:44
Now, because it says x is just less than negative 7 4s, not equal to it, i'm going to use an open circle on our number line.
00:52
And because x is less than this value, the values that would be less than it would occur to the left.
00:57
So i'm going to shade the left -hand side of my number line.
00:59
So now we have graphed the solution set...