For this case we must resolve the following inequality:
[tex]x-7 <-12[/tex]
Adding 7 to both sides of the inequality:
[tex]x <-12 + 7[/tex]
Different signs are subtracted and the major sign is placed.
[tex]x <-5[/tex]
Thus, the solution is given by all the values of "x" less than -5.
The solution set is: (-∞, - 5)
Answer:
[tex]x <-5[/tex]
See attached image