00:01
In your question, we need to solve this absolute value inequality.
00:04
The first step, since our absolute value is already on a side by itself, is to now split the inequality into a compound inequality.
00:12
2x plus 5 would be greater than or equal to 3 .2.
00:16
When a greater than symbol is used, we connect this with the word or.
00:21
Then we would write a second inequality, 2x plus 5, 5, switch the inequality sign, and change 3 .2 to negative 3 .2.
00:31
That's the procedure for splitting an absolute value inequality.
00:35
Now we'll solve each of these inequalities.
00:39
First one would be 2x is greater than or equal to negative 1 .8.
00:44
We divide by 2.
00:46
We get x must be greater than or equal to a negative 0 .9...