00:01
This problem says given the inequality 2y plus 6 greater than 20, which graph is the solution? and we can't see the solution options for the graph, but there's two ways you could graph this type of problem after you finish solving for the variable.
00:14
And since we only have one variable, that's why we can actually graph this on a number line, but we'll go through how it's going to look on a number line as well as a coordinate grid.
00:22
But either way, we do need to isolate y first.
00:24
So i'm going to subtract 6 from both sides to leave us with 2y greater than 20 minus 6, which is 14.
00:30
And then we divide by two on both sides, and that tells us that the solution is y greater than 7.
00:36
So, again, there's two ways this could show up with your astrograph, since it's just one variable.
00:41
If you're asked to graph on a number line, you will see a point at 7 on the number line, and since this is an inequality with no equal to, in other words, it's a greater than or less than, to mark this 7 as where our solution start or stop, we use an open point to show it's not part of the solution.
00:58
And then we want to shade the side of the number line that would make this true.
01:02
We want y to be greater than 7...