Answer:
[tex]x < -20[/tex]
Step-by-step explanation:
Given the following question:
[tex]x+8 < -12[/tex]
In order to solve one step inequalities, we solve how we would normally solve a one-step equation and then graph the answer on a number line.
[tex]x+8 < -12[/tex]
[tex]8-8=0[/tex]
[tex]-12-8=-20[/tex]
[tex]x < -20[/tex]
Now to graph the inequality on a number line, keep a few things in mind:
. x is less than -20 which means the line would go the opposite way of the negative 20.
. < is a greater than sign, not a greater than or equal sign (≤) so the number line will have a open point.
. The number line will have a point on -20.
Hope this helps.