Video Transcript
If ๐ง plus one is less than or equal to negative nine, then negative ๐ง blank.
We have the inequality ๐ง plus one is less than or equal to negative nine. In order for us to find what negative ๐ง would be equal to, we first need to find ๐ง by itself. We can do this by subtracting one from either side of this inequality. And we see that ๐ง is less than or equal to negative 10. If we want to know something about negative ๐ง, we could multiply the entire inequality by negative one. But we have to remember that when weโre multiplying inequalities by negative values, we need to flip the sign. And that means weโll have to change it from a less than or equal to to a greater than or equal to.
After that, we multiply through by negative one just like we would in an equation so that we have negative ๐ง. And then, negative one times negative 10 is positive 10. If ๐ง is less than or equal to negative 10, then negative ๐ง will be greater than or equal to positive 10 .
