00:01
Solve the compound inequality.
00:03
6 is less than the product of negative 2 and the binomial x minus 1 is less than 12.
00:10
Let's start by using the distributed property for the middle term to rewrite the compound inequality without parentheses.
00:18
6 is less than negative 2 times x, negative 2x, and negative 2 times negative 1, positive 2, is less than 12.
00:30
6 is less than negative 2x plus 2 is less than.
00:34
Than 12.
00:36
And because this is a compound inequality, we need to remember that whatever we do to undo operators to the middle term, the negative 2x plus 2, we must do to every part of the inequality.
00:48
So to isolate the variable, let's start by undoing the addition of 2 and subtract 2 from all parts of the inequality.
00:58
This leaves us with 4 is less than negative 2x is less than 10.
01:07
Now to isolate x, we need to undo the product and use division...